{"id":4660,"date":"2016-05-17T11:49:00","date_gmt":"2016-05-17T06:19:00","guid":{"rendered":"http:\/\/mycbseguide.com\/blog\/ncert-solutions-class-8-maths-exercise-2-2\/"},"modified":"2018-06-25T17:59:39","modified_gmt":"2018-06-25T12:29:39","slug":"ncert-solutions-for-class-8-maths-exercise-2-2","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-2-2\/","title":{"rendered":"NCERT Solutions for Class 8 Maths Exercise 2.2"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_76 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-toggle-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-2-2\/#NCERT_Solutions_for_Class_8_Maths_Linear_Equations_in_One_Variable\" >NCERT Solutions for Class 8 Maths\u00a0Linear Equations in One Variable<\/a><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-2-2\/#Class_%E2%80%93VIII_MathematicsEx_22\" >Class \u2013VIII Mathematics(Ex. 2.2)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-2-2\/#1_If_you_subtract_from_a_number_and_multiply_the_result_by_you_get_What_is_the_number\" >1. If you subtract \u00a0from a number and multiply the result by \u00a0you get What is the number?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-2-2\/#2_The_perimeter_of_a_rectangular_swimming_pool_is_154_m_Its_length_is_2_m_more_than_twice_its_breadth_What_are_the_length_and_breadth\" >2. The perimeter of a rectangular swimming pool is 154 m. Its length is 2 m more than twice its breadth. What are the length and breadth?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-2-2\/#3_The_base_of_an_isosceles_triangle_is_cm_The_perimeter_of_the_triangle_is_cm_What_is_the_length_of_either_of_the_remaining_equal_sides\" >3. The base of an isosceles triangle is cm. The perimeter of the triangle is \u00a0cm. What is the length of either of the remaining equal sides?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-2-2\/#4_Sum_of_two_numbers_is_95_If_one_exceeds_the_other_by_15_find_the_numbers\" >4. Sum of two numbers is 95. If one exceeds the other by 15, find the numbers.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-2-2\/#5_Two_numbers_are_in_the_ratio_5_3_If_they_differ_by_18_what_are_the_numbers\" >5. Two numbers are in the ratio 5 : 3. If they differ by 18, what are the numbers?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-2-2\/#6_Three_consecutive_integers_add_up_to_51_What_are_these_integers\" >6. Three consecutive integers add up to 51. What are these integers?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-2-2\/#7_The_sum_of_three_consecutive_multiples_of_8_is_888_Find_the_multiples\" >7. The sum of three consecutive multiples of 8 is 888. Find the multiples.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-2-2\/#8_Three_consecutive_integers_are_such_that_when_they_are_taken_in_increasing_order_and_multiplied_by_2_3_and_4_respectively_they_add_up_to_74_Find_these_numbers\" >8. Three consecutive integers are such that when they are taken in increasing order and multiplied by 2, 3 and 4 respectively, they add up to 74. Find these numbers.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-2-2\/#9_The_ages_of_Rahul_and_Haroon_are_in_the_ratio_5_7_Four_years_later_the_sum_of_their_ages_will_be_56_years_What_are_their_present_ages\" >9. The ages of Rahul and Haroon are in the ratio 5 : 7. Four years later the sum of their ages will be 56 years. What are their present ages?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-2-2\/#10_The_number_of_boys_and_girls_in_a_class_are_in_the_ratio_7_5_The_number_of_boys_is_8_more_than_the_number_of_girls_What_is_the_total_class_strength\" >10. The number of boys and girls in a class are in the ratio 7 : 5. The number of boys is 8 more than the number of girls. What is the total class strength?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-2-2\/#11_Baichungs_father_is_26_years_younger_than_Baichungs_grandfather_and_29_years_older_than_Baichung_The_sum_of_the_ages_of_all_the_three_is_135_years_What_is_the_age_of_each_one_of_them\" >11. Baichung\u2019s father is 26 years younger than Baichung\u2019s grandfather and 29 years older than Baichung. The sum of the ages of all the three is 135 years. What is the age of each one of them?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-2-2\/#12_Fifteen_years_from_now_Ravis_age_will_be_four_times_his_present_age_What_is_Ravis_present_age\" >12. Fifteen years from now Ravi\u2019s age will be four times his present age. What is Ravi\u2019s present age?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-2-2\/#13_A_rational_number_is_such_that_when_you_multiply_it_by_and_add_to_the_product_you_get_What_is_the_number\" >13. A rational number is such that when you multiply it by \u00a0and add\u00a0to the product, you get \u00a0What is the number?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-2-2\/#14_Lakshmi_is_a_cashier_in_a_bank_She_has_currency_notes_of_denominations_100_50_an10_respectively_The_ratio_of_the_number_of_these_notes_is_2_3_5_The_total_cash_with_Lakshmi_is_400000_How_many_notes_of_each_denomination_does_she_have\" >14. Lakshmi is a cashier in a bank. She has currency notes of denominations ` 100, `50 an`10 respectively. The ratio of the number of these notes is 2 : 3 : 5. The total cash with Lakshmi is `4,00,000. How many notes of each denomination does she have?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-17\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-2-2\/#15_I_have_a_total_of_300_in_coins_of_denomination_1_2_and_5_The_number_of_2_coins_is_3_times_the_number_of_5_coins_The_total_number_of_coins_is_160_How_many_coins_of_each_denomination_are_with_me\" >15. I have a total of `300 in coins of denomination `1, `2 and `5. The number of `2 coins is 3 times the number of `5 coins. The total number of coins is 160. How many coins of each denomination are with me?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-18\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-2-2\/#16_The_organizers_of_an_essay_competition_decide_that_a_winner_in_the_competition_gets_a_prize_of_100_and_a_participant_who_does_not_win_gets_a_prize_of_25_The_total_prize_money_distributed_is_3000_Find_the_number_of_participants_is_63\" >16. The organizers of an essay competition decide that a winner in the competition gets a prize of `100 and a participant who does not win, gets a prize of `25. The total prize money distributed is `3,000. Find the number of participants is 63.<\/a><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-19\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-2-2\/#NCERT_Solutions_for_Class_8_Maths_Exercise_22\" >NCERT Solutions for Class 8 Maths Exercise 2.2<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-20\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-2-2\/#CBSE_app_for_Class_8\" >CBSE app for Class 8<\/a><\/li><\/ul><\/nav><\/div>\n<p>NCERT Solutions for Class 8 Maths Exercise 2.2 Class 8 Maths book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class 8 Maths chapter wise NCERT solution for Maths Book all the chapters can be downloaded from our website and myCBSEguide mobile app for free.<\/p>\n<p style=\"text-align: center;\"><strong>NCERT solutions for Class 8 Maths\u00a0Linear Equations in One Variable\u00a0<a class=\"button\" href=\"https:\/\/mycbseguide.com\/downloads\/cbse-class-08-mathematics-linear-equations-in-one-variable\/1451\/ncert-solutions\/5\/\">Download as PDF<\/a><\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/media-mycbseguide.s3.ap-south-1.amazonaws.com\/images\/blog\/08_Maths_Book.jpg\" alt=\"NCERT Solutions for Class 8 Maths Exercise 2.2\" width=\"156\" height=\"196\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_8_Maths_Linear_Equations_in_One_Variable\"><\/span>NCERT Solutions for Class 8 Maths\u00a0Linear Equations in One Variable<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h6 style=\"text-align: center;\"><span class=\"ez-toc-section\" id=\"Class_%E2%80%93VIII_MathematicsEx_22\"><\/span><strong>Class \u2013VIII Mathematics(Ex. 2.2)<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<h6><span class=\"ez-toc-section\" id=\"1_If_you_subtract_from_a_number_and_multiply_the_result_by_you_get_What_is_the_number\"><\/span><strong>1. If you subtract <\/strong><strong><img decoding=\"async\" style=\"height: 41px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image001.png\" \/>\u00a0from a number and multiply the result by <img decoding=\"async\" style=\"height: 41px; width: 21px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image002.png\" \/>\u00a0you get <img decoding=\"async\" style=\"height: 41px; width: 19px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image003.png\" \/>What is the number?<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>Ans. <\/strong>Let the number be <img decoding=\"async\" style=\"height: 15px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image004.png\" \/><\/p>\n<p>According to the question,<\/p>\n<p><img decoding=\"async\" style=\"height: 45px; width: 92px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image005.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 45px; width: 132px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image007.png\" \/><\/p>\n[Multiplying both sides by 2]\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 41px; width: 64px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image008.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 41px; width: 113px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image009.png\" \/><\/p>\n[Adding both sides <img decoding=\"async\" style=\"height: 41px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image001.png\" \/>]\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 41px; width: 59px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image010.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 41px; width: 40px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image011.png\" \/><\/p>\n<p>Hence, the required number is <img decoding=\"async\" style=\"height: 41px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image012.png\" \/><\/p>\n<hr \/>\n<h6><span class=\"ez-toc-section\" id=\"2_The_perimeter_of_a_rectangular_swimming_pool_is_154_m_Its_length_is_2_m_more_than_twice_its_breadth_What_are_the_length_and_breadth\"><\/span><strong>2. The perimeter of a rectangular swimming pool is 154 m. Its length is 2 m more than twice its breadth. What are the length and breadth?<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>Ans. <\/strong>Let the breadth of the pool be <img decoding=\"async\" style=\"height: 15px; width: 13px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image013.png\" \/>\u00a0m.<\/p>\n<p>Then, the length of the pool = <img decoding=\"async\" style=\"height: 27px; width: 56px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image014.png\" \/>\u00a0m<\/p>\n<p>Perimeter = <img decoding=\"async\" style=\"height: 27px; width: 55px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image015.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0154 = <img decoding=\"async\" style=\"height: 27px; width: 88px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image016.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 44px; width: 132px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image017.png\" \/><\/p>\n[Dividing both sides by 2]\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 75px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image018.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 119px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image019.png\" \/><\/p>\n[Subtracting 2 from both sides]\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 52px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image020.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 41px; width: 57px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image021.png\" \/><\/p>\n[Dividing both sides by 3]\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 45px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image022.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 45px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image023.png\" \/>m<\/p>\n<p>Hence, length of the pool = <img decoding=\"async\" style=\"height: 19px; width: 44px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image024.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 19px; width: 64px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image025.png\" \/>= 50 + 2 = 52 m<\/p>\n<p>And,\u00a0\u00a0\u00a0 breadth of the pool = 25 m.<\/p>\n<hr \/>\n<h6><span class=\"ez-toc-section\" id=\"3_The_base_of_an_isosceles_triangle_is_cm_The_perimeter_of_the_triangle_is_cm_What_is_the_length_of_either_of_the_remaining_equal_sides\"><\/span><strong>3. The base of an isosceles triangle is <img decoding=\"async\" style=\"height: 41px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image026.png\" \/>cm. The perimeter of the triangle is <img decoding=\"async\" style=\"height: 41px; width: 32px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image027.png\" \/>\u00a0cm. What is the length of either of the remaining equal sides?<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>Ans. <\/strong>Let each of equal sides of an isosceles triangle be <img decoding=\"async\" style=\"height: 15px; width: 13px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image013.png\" \/>\u00a0cm.<\/p>\n<p>Perimeter of a triangle = Sum of all three sides<\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 41px; width: 103px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image028.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 41px; width: 80px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image029.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 41px; width: 129px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image030.png\" \/><\/p>\n[Subtracting <img decoding=\"async\" style=\"height: 41px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image026.png\" \/>\u00a0from both the sides]\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 41px; width: 85px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image031.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 41px; width: 56px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image032.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 41px; width: 77px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image033.png\" \/><\/p>\n[Dividing both sides by 2]\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 41px; width: 40px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image034.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 41px; width: 47px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image035.png\" \/>\u00a0cm<\/p>\n<p>Hence, each equal side of an isosceles triangle is <img decoding=\"async\" style=\"height: 41px; width: 23px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image036.png\" \/>\u00a0cm.<\/p>\n<hr \/>\n<h6><span class=\"ez-toc-section\" id=\"4_Sum_of_two_numbers_is_95_If_one_exceeds_the_other_by_15_find_the_numbers\"><\/span><strong>4. Sum of two numbers is 95. If one exceeds the other by 15, find the numbers.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>Ans. <\/strong>Sum of two number = 95<\/p>\n<p>Let the first number be <img decoding=\"async\" style=\"height: 17px; width: 17px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image037.png\" \/>\u00a0then another number be <img decoding=\"async\" style=\"height: 19px; width: 41px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image038.png\" \/>.<\/p>\n<p>According to the question, <img decoding=\"async\" style=\"height: 19px; width: 95px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image039.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 81px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image040.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 137px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image041.png\" \/><\/p>\n[Subtracting 15 from both sides]\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 53px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image042.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 41px; width: 57px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image043.png\" \/><\/p>\n[Dividing both sides by 2]\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 45px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image044.png\" \/><\/p>\n<p>Hence, the first number = 40<\/p>\n<p>And another number = 40 + 15 = 55.<\/p>\n<hr \/>\n<h6><span class=\"ez-toc-section\" id=\"5_Two_numbers_are_in_the_ratio_5_3_If_they_differ_by_18_what_are_the_numbers\"><\/span><strong>5. Two numbers are in the ratio 5 : 3. If they differ by 18, what are the numbers?<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>Ans. <\/strong>Let the two numbers be <img decoding=\"async\" style=\"height: 19px; width: 21px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image045.png\" \/>\u00a0and <img decoding=\"async\" style=\"height: 19px; width: 23px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image046.png\" \/><\/p>\n<p>According to question,\u00a0 <img decoding=\"async\" style=\"height: 19px; width: 80px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image047.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 52px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image048.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 41px; width: 56px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image049.png\" \/><\/p>\n[Dividing both sides by 2]\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 37px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image050.png\" \/><\/p>\n<p>Hence, first number = <img decoding=\"async\" style=\"height: 19px; width: 32px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image051.png\" \/>\u00a0= 45 and second number = <img decoding=\"async\" style=\"height: 19px; width: 32px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image052.png\" \/>\u00a0= 27.<\/p>\n<hr \/>\n<h6><span class=\"ez-toc-section\" id=\"6_Three_consecutive_integers_add_up_to_51_What_are_these_integers\"><\/span><strong>6. Three consecutive integers add up to 51. What are these integers?<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>Ans. <\/strong>Let the three consecutive integers be <img decoding=\"async\" style=\"height: 21px; width: 47px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image053.png\" \/>\u00a0and <img decoding=\"async\" style=\"height: 19px; width: 39px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image054.png\" \/><\/p>\n<p>According to the question,\u00a0 <img decoding=\"async\" style=\"height: 19px; width: 129px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image055.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 72px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image056.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 113px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image057.png\" \/><\/p>\n[Subtracting 3 from both sides]\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 52px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image058.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 41px; width: 57px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image059.png\" \/><\/p>\n[Dividing both sides by 3]\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 44px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image060.png\" \/><\/p>\n<p>Hence, first integer = 16,<\/p>\n<p>second integer = 16 + 1 = 17 and<\/p>\n<p>third integer = 16 + 2 = 18.<\/p>\n<hr \/>\n<h6><span class=\"ez-toc-section\" id=\"7_The_sum_of_three_consecutive_multiples_of_8_is_888_Find_the_multiples\"><\/span><strong>7. The sum of three consecutive multiples of 8 is 888. Find the multiples.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>Ans. <\/strong>Let the three consecutive multiples of 8 be <img decoding=\"async\" style=\"height: 21px; width: 48px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image061.png\" \/>\u00a0and <img decoding=\"async\" style=\"height: 19px; width: 45px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image062.png\" \/><\/p>\n<p>According to question,\u00a0 <img decoding=\"async\" style=\"height: 19px; width: 147px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image063.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 89px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image064.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 149px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image065.png\" \/><\/p>\n[Subtracting 24 from both sides]\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 60px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image066.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 41px; width: 65px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image067.png\" \/><\/p>\n[Dividing both sides by 3]\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 53px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image068.png\" \/><\/p>\n<p>Hence, first multiple of 8 = 288,<\/p>\n<p>second multiple of 8 = 288 + 8 = 296 and third multiple of 8 = 288 + 16 = 304.<\/p>\n<hr \/>\n<h6><span class=\"ez-toc-section\" id=\"8_Three_consecutive_integers_are_such_that_when_they_are_taken_in_increasing_order_and_multiplied_by_2_3_and_4_respectively_they_add_up_to_74_Find_these_numbers\"><\/span><strong>8. Three consecutive integers are such that when they are taken in increasing order and multiplied by 2, 3 and 4 respectively, they add up to 74. Find these numbers.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>Ans. <\/strong>Let the three consecutive integers be <img decoding=\"async\" style=\"height: 21px; width: 47px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image053.png\" \/>\u00a0and <img decoding=\"async\" style=\"height: 19px; width: 39px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image054.png\" \/><\/p>\n<p>According to the question, <img decoding=\"async\" style=\"height: 27px; width: 183px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image069.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 156px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image070.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 80px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image071.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 133px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image072.png\" \/><\/p>\n[Subtracting 11 from both sides]\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 52px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image073.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 41px; width: 57px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image074.png\" \/><\/p>\n[Dividing both sides by 9]\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 37px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image075.png\" \/><\/p>\n<p>Hence first integer = 7, second integer<\/p>\n<p>= 7 + 1 = 8 and third integer = 7 + 2 = 9.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 8 Maths Exercise 2.2<\/p>\n<h6><span class=\"ez-toc-section\" id=\"9_The_ages_of_Rahul_and_Haroon_are_in_the_ratio_5_7_Four_years_later_the_sum_of_their_ages_will_be_56_years_What_are_their_present_ages\"><\/span><strong>9. The ages of Rahul and Haroon are in the ratio 5 : 7. Four years later the sum of their ages will be 56 years. What are their present ages?<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>Ans. <\/strong>Let the present ages of Rahul and Haroon be <img decoding=\"async\" style=\"height: 19px; width: 21px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image076.png\" \/>\u00a0years and <img decoding=\"async\" style=\"height: 19px; width: 21px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image077.png\" \/>\u00a0years respectively.<\/p>\n<p>According to condition,<img decoding=\"async\" style=\"height: 27px; width: 152px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image078.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 80px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image079.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 123px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image080.png\" \/><\/p>\n[Subtracting 8 from both sides]\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 60px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image081.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 41px; width: 64px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image082.png\" \/><\/p>\n[Dividing both sides by 12]\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 37px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image083.png\" \/><\/p>\n<p>Hence, present age of Rahul = <img decoding=\"async\" style=\"height: 19px; width: 33px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image084.png\" \/>\u00a0= 20 years and present age of Haroon<\/p>\n<p>= <img decoding=\"async\" style=\"height: 19px; width: 33px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image085.png\" \/>\u00a0= 28 years.<\/p>\n<hr \/>\n<h6><span class=\"ez-toc-section\" id=\"10_The_number_of_boys_and_girls_in_a_class_are_in_the_ratio_7_5_The_number_of_boys_is_8_more_than_the_number_of_girls_What_is_the_total_class_strength\"><\/span><strong>10. The number of boys and girls in a class are in the ratio 7 : 5. The number of boys is 8 more than the number of girls. What is the total class strength?<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>Ans. <\/strong>Let the number of girls be <img decoding=\"async\" style=\"height: 15px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image004.png\" \/><\/p>\n<p>Then, the number of boys = <img decoding=\"async\" style=\"height: 19px; width: 37px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image086.png\" \/><\/p>\n<p>According to the question,<img decoding=\"async\" style=\"height: 41px; width: 64px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image087.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 27px; width: 88px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image088.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 84px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image089.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 92px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image090.png\" \/><\/p>\n[Transposing <img decoding=\"async\" style=\"height: 19px; width: 21px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image077.png\" \/>\u00a0to L.H.S. and 40 to R.H.S.]\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 71px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image091.png\" \/>\u00a0 <img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 41px; width: 76px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image092.png\" \/><\/p>\n[Dividing both sides by <img decoding=\"async\" style=\"height: 17px; width: 21px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image093.png\" \/>]\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 45px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image094.png\" \/><\/p>\n<p>Hence the number of girls = 20 and number of boys = 20 + 8 = 28.<\/p>\n<hr \/>\n<h6><span class=\"ez-toc-section\" id=\"11_Baichungs_father_is_26_years_younger_than_Baichungs_grandfather_and_29_years_older_than_Baichung_The_sum_of_the_ages_of_all_the_three_is_135_years_What_is_the_age_of_each_one_of_them\"><\/span><strong>11. Baichung\u2019s father is 26 years younger than Baichung\u2019s grandfather and 29 years older than Baichung. The sum of the ages of all the three is 135 years. What is the age of each one of them?<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>Ans. <\/strong>Let Baichung\u2019s age be <img decoding=\"async\" style=\"height: 15px; width: 13px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image013.png\" \/>\u00a0years, then Baichung\u2019s father\u2019s age = <img decoding=\"async\" style=\"height: 27px; width: 56px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image095.png\" \/>\u00a0years and Baichung\u2019s granddaughter\u2019s age = <img decoding=\"async\" style=\"height: 27px; width: 152px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image096.png\" \/>\u00a0years.<\/p>\n<p>According to condition, <img decoding=\"async\" style=\"height: 19px; width: 156px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image097.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 88px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image098.png\" \/>\u00a0 <img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 147px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image099.png\" \/><\/p>\n[Subtracting 84 from both sides]\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 51px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image100.png\" \/>\u00a0 <img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 41px; width: 56px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image101.png\" \/><\/p>\n[Dividing both sides by 3]\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 44px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image102.png\" \/>years<\/p>\n<p>Hence, Baichung\u2019s age = 17 years, Baichung\u2019s father\u2019s age = 17 + 29<\/p>\n<p>= 46 years<\/p>\n<p>And Baichung\u2019s granddaughter\u2019s age<\/p>\n<p>= 17 + 29 + 26 = 72 years.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 8 Maths Exercise 2.2<\/p>\n<h6><span class=\"ez-toc-section\" id=\"12_Fifteen_years_from_now_Ravis_age_will_be_four_times_his_present_age_What_is_Ravis_present_age\"><\/span><strong>12. Fifteen years from now Ravi\u2019s age will be four times his present age. What is Ravi\u2019s present age?<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>Ans. <\/strong>Let Ravi\u2019s present age be <img decoding=\"async\" style=\"height: 15px; width: 13px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image013.png\" \/>\u00a0years.<\/p>\n<p>After fifteen years, Ravi\u2019s age = <img decoding=\"async\" style=\"height: 19px; width: 21px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image103.png\" \/>\u00a0years.<\/p>\n<p>Fifteen years from now, Ravi\u2019s age = <img decoding=\"async\" style=\"height: 27px; width: 53px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image104.png\" \/>\u00a0years.<\/p>\n<p>According to question,\u00a0 <img decoding=\"async\" style=\"height: 19px; width: 73px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image105.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 73px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image106.png\" \/><\/p>\n[Transposing <img decoding=\"async\" style=\"height: 15px; width: 13px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image013.png\" \/>\u00a0to L.H.S.]\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 51px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image107.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 41px; width: 56px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image108.png\" \/><\/p>\n[Dividing both sides by 3]\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 36px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image109.png\" \/>years<\/p>\n<p>Hence, Ravi\u2019s present age be 5 years.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 8 Maths Exercise 2.2<\/p>\n<h6><span class=\"ez-toc-section\" id=\"13_A_rational_number_is_such_that_when_you_multiply_it_by_and_add_to_the_product_you_get_What_is_the_number\"><\/span><strong>13. A rational number is such that when you multiply it by <\/strong><strong><img decoding=\"async\" style=\"height: 41px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image110.png\" \/>\u00a0and add<img decoding=\"async\" style=\"height: 41px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image111.png\" \/>\u00a0to the product, you get <img decoding=\"async\" style=\"height: 41px; width: 29px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image112.png\" \/>\u00a0What is the number?<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>Ans. <\/strong>Let the rational number be <img decoding=\"async\" style=\"height: 15px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image004.png\" \/><\/p>\n<p>According to the question,\u00a0 <img decoding=\"async\" style=\"height: 41px; width: 85px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image113.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 41px; width: 135px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image114.png\" \/><\/p>\n[Subtracting <img decoding=\"async\" style=\"height: 41px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image111.png\" \/>from both sides]\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 41px; width: 80px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image115.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 41px; width: 67px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image116.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 108px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image117.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 69px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image118.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 41px; width: 75px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image119.png\" \/><\/p>\n[Dividing both sides by 60]\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 41px; width: 47px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image120.png\" \/><\/p>\n<p>Hence, the rational number is <img decoding=\"async\" style=\"height: 41px; width: 27px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image121.png\" \/><\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 8 Maths Exercise 2.2<\/p>\n<h6><span class=\"ez-toc-section\" id=\"14_Lakshmi_is_a_cashier_in_a_bank_She_has_currency_notes_of_denominations_100_50_an10_respectively_The_ratio_of_the_number_of_these_notes_is_2_3_5_The_total_cash_with_Lakshmi_is_400000_How_many_notes_of_each_denomination_does_she_have\"><\/span><strong>14. Lakshmi is a cashier in a bank. She has currency notes of denominations <\/strong><strong>` 100, `50 an`10 respectively. The ratio of the number of these notes is 2 : 3 : 5. The total cash with Lakshmi is `4,00,000. How many notes of each denomination does she have?<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>Ans. <\/strong>Let number of notes be <img decoding=\"async\" style=\"height: 21px; width: 43px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image122.png\" \/>\u00a0and <img decoding=\"async\" style=\"height: 19px; width: 23px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image123.png\" \/><\/p>\n<p>According to question,\u00a0 <img decoding=\"async\" style=\"height: 21px; width: 245px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image124.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 21px; width: 196px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image125.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 21px; width: 112px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image126.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 41px; width: 117px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image127.png\" \/><\/p>\n[Dividing both sides by 400]\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 60px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image128.png\" \/><\/p>\n<p>Hence, number of denominations of ` 100 notes = <img decoding=\"async\" style=\"height: 19px; width: 56px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image129.png\" \/>\u00a0= 2000<\/p>\n<p>Number of denominations of ` 50 notes = <img decoding=\"async\" style=\"height: 19px; width: 54px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image130.png\" \/>= 3000<\/p>\n<p>Number of denominations of ` 10 notes = <img decoding=\"async\" style=\"height: 19px; width: 55px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image131.png\" \/>\u00a0= 5000<\/p>\n<p>Therefore, required denominations of notes of ` 100, ` 50 and ` 10 are 2000, 3000 and 5000 respectively.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 8 Maths Exercise 2.2<\/p>\n<h6><span class=\"ez-toc-section\" id=\"15_I_have_a_total_of_300_in_coins_of_denomination_1_2_and_5_The_number_of_2_coins_is_3_times_the_number_of_5_coins_The_total_number_of_coins_is_160_How_many_coins_of_each_denomination_are_with_me\"><\/span><strong>15. I have a total of <\/strong><strong>`300 in coins of denomination `1, `2 and `5. The number of `2 coins is 3 times the number of `5 coins. The total number of coins is 160. How many coins of each denomination are with me?<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>Ans. <\/strong>Total sum of money = ` 300<\/p>\n<p>Let the number of ` 5 coins be <img decoding=\"async\" style=\"height: 17px; width: 17px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image037.png\" \/>\u00a0number of ` 2 coins be <img decoding=\"async\" style=\"height: 19px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image132.png\" \/>\u00a0and number of ` 1 coins be <img decoding=\"async\" style=\"height: 27px; width: 163px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image133.png\" \/><\/p>\n<p>According to question,\u00a0 <img decoding=\"async\" style=\"height: 27px; width: 232px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image134.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 157px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image135.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 97px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image136.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 169px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image137.png\" \/><\/p>\n[Subtracting 160 from both sides]\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 60px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image138.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 41px; width: 65px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image139.png\" \/><\/p>\n[Dividing both sides by 7]\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 45px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image094.png\" \/><\/p>\n<p>Hence, the number of coins of ` 5 denomination = 20<\/p>\n<p>Number of coins of ` 2 denomination = <img decoding=\"async\" style=\"height: 19px; width: 40px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image140.png\" \/>= 60<\/p>\n<p>Number of coins of ` 1 denomination = <img decoding=\"async\" style=\"height: 19px; width: 77px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image141.png\" \/>= 160 \u2013 80 = 80<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 8 Maths Exercise 2.2<\/p>\n<h6><span class=\"ez-toc-section\" id=\"16_The_organizers_of_an_essay_competition_decide_that_a_winner_in_the_competition_gets_a_prize_of_100_and_a_participant_who_does_not_win_gets_a_prize_of_25_The_total_prize_money_distributed_is_3000_Find_the_number_of_participants_is_63\"><\/span><strong>16. The organizers of an essay competition decide that a winner in the competition gets a prize of <\/strong><strong>`100 and a participant who does not win, gets a prize of `25. The total prize money distributed is `3,000. Find the number of participants is 63.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>Ans. <\/strong>Total sum of money = ` 3000<\/p>\n<p>Let the number of winners of ` 100 be <img decoding=\"async\" style=\"height: 15px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image004.png\" \/><\/p>\n<p>And those who are not winners = <img decoding=\"async\" style=\"height: 19px; width: 43px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image142.png\" \/><\/p>\n<p>According to the question,\u00a0 <img decoding=\"async\" style=\"height: 27px; width: 188px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image143.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 165px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image144.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 121px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image145.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 201px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image146.png\" \/><\/p>\n[Subtracting 1575 from both sides]\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 68px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image147.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 41px; width: 72px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image148.png\" \/><\/p>\n[Dividing both sides by 7]\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image006.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 44px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/2_2\/image149.png\" \/><\/p>\n<p>Hence the number of winner is 19.<\/p>\n<hr \/>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_8_Maths_Exercise_22\"><\/span>NCERT Solutions for Class 8 Maths Exercise 2.2<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>NCERT Solutions Class 8\u00a0Mathematics PDF (Download) Free from myCBSEguide app and myCBSEguide website. Ncert solution class 8\u00a0Mathematics includes text book solutions from Class 8 Maths Book . NCERT Solutions for CBSE Class 8 Maths have total 16 chapters. 8 Maths NCERT Solutions in PDF for free Download on our website. Ncert class 8 solutions PDF and Maths ncert class 8 PDF solutions with latest modifications and as per the latest CBSE syllabus are only available in myCBSEguide.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"CBSE_app_for_Class_8\"><\/span>CBSE app for Class 8<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>To download\u00a0NCERT Solutions for class 8 Social Science, Computer Science, Home Science,Hindi ,English, Maths Science do check myCBSEguide app or website. myCBSEguide provides sample papers with solution, test papers for chapter-wise practice, NCERT solutions, NCERT Exemplar solutions, quick revision notes for ready reference, CBSE guess papers and CBSE important question papers. Sample Paper all are made available through\u00a0<a href=\"https:\/\/play.google.com\/store\/apps\/details?id=in.techchefs.MyCBSEGuide&amp;referrer=utm_source%3Dmycbse_bottom%26utm_medium%3Dtext%26utm_campaign%3Dmycbseads\"><strong>the best app for CBSE students<\/strong><\/a>\u00a0and myCBSEguide website.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions for Class 8 Maths Exercise 2.2 Class 8 Maths book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class 8 &#8230; <a title=\"NCERT Solutions for Class 8 Maths Exercise 2.2\" class=\"read-more\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-2-2\/\" aria-label=\"More on NCERT Solutions for Class 8 Maths Exercise 2.2\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":-1,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1382,281],"tags":[283,1523,321,1485,216],"class_list":["post-4660","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-mathematics-cbse-class-08","category-ncert-solutions","tag-cbse-study-material","tag-class-8","tag-mathematics","tag-maths","tag-ncert-solutions"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.0 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>NCERT Solutions for Class 8 Maths Exercise 2.2 | myCBSEguide<\/title>\n<meta name=\"description\" content=\"NCERT Solutions for Class 8 Maths Exercise 2.2 in PDF format for free download. 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