Three friends plucked some mangoes from …

CBSE, JEE, NEET, CUET

Question Bank, Mock Tests, Exam Papers

NCERT Solutions, Sample Papers, Notes, Videos

Three friends plucked some mangoes from a mango grove and collected them together in a pile and took nap after that. After some time, one of the friends woke up and divided the mangoes into three equal numbers. There was one mango extra. He gave it to a monkey nearby, took one part for himself and slept again. Next the second friend got up unaware of what has happened, divided the rest of the mangoes into three equal shares. There was an extra mango. He gave it to the monkey, took one share for himself and slept again. Next the third friend got up not knowing what happened and divided the mangoes into three equal shares. There was an extra mango. He gave it to the monkey, took one share for himself and went to sleep again. After some time, all of them got up together to find 30 mangoes. How many mangoes did the friends pluck initially?

Posted by Praveen Param 4 years, 4 months ago

CBSE > Class 06 > Maths (OLD)

1 answers

Gaurav Seth 4 years, 4 months ago

let the number of mangoes , when third friend got up be x+1.

one mango he has given to the monkey.

therefore he has taken x/3 mangoes.

the remaining mangoes are 2x/3

2x/3 = 30

x = 30*3/2 = 45

thus the number of mangoes when 3rd friend got up is 45+1 = 46.

similarly let the number of mangoes when 2nd friend got up be y+1.

therefore

2y/3 = 46

y = 46*3/2 = 69

thus the number of mangoes when 2nd friend got up = 69+1 = 70

let the number of mangoes , when first friend got up be z+1 (i.e. the number of mangoes which they pluck initially)

2z/3 = 70

z = 70*3/2 = 105

therefore the total number of mangoes = 105+1 = 106

3Thank You

ANSWER

myCBSEguide

CBSE, JEE, NEET, CUET

myCBSEguide

Test Generator

CUET Mock Tests

Download myCBSEguide App

All Courses

Other Websites

CBSE Courses

Resources

Corporate

NCERT Solutions

CBSE Sample Papers