Class 10 exercise 3.2

1. Form the pair of linear equations in the following problems, and find their solutions graphically.

(i) 10 students of Class X took part in a Mathematics quiz. If the number of girls is 4 more than the number of boys, find the number of boys and girls who took part in the quiz.

(ii) 5 pencils and 7 pens together cost 50, whereas 7 pencils and 5 pens together cost 46. Find the cost of one pencil and that of one pen.

Solution:

(i)Let there are x number of girls and y number of boys. As per the given question, the algebraic expression can be represented as follows.

x +y = 10

x– y = 4

Now, for x+y = 10 or x = 10−y, the solutions are;

For x – y = 4 or x = 4 + y, the solutions are;

The graphical representation is as follows;

Click on the given link to continue

<a href="https://mycbseguide.com/blog/ncert-solutions-for-class-10-maths-exercise-3-2/" ping="/url?sa=t&source=web&rct=j&url=https://mycbseguide.com/blog/ncert-solutions-for-class-10-maths-exercise-3-2/&ved=2ahUKEwj2r_u647_sAhWOwjgGHT1jADUQFjAEegQIBBAC" rel="noopener" target="_blank">NCERT Solutions for Class 10 Maths Exercise 3.2</a>