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NCERT Solutions Class 10 Mathematics Solutions for Pair of Linear Equations in Two Variables - Exercise 3.2 in Chapter 3 - Pair of Linear Equations in Two Variables

Question 2 Pair of Linear Equations in Two Variables - Exercise 3.2

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.

Answer:

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;

NCERT Solutions - Mathematics , Class 10 chapter Pair of Linear Equations in Two Variables Question 2 Solution image

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

NCERT Solutions - Mathematics , Class 10 chapter Pair of Linear Equations in Two Variables Question 2 Solution image

The graphical representation is as follows;

NCERT Solutions - Mathematics , Class 10 chapter Pair of Linear Equations in Two Variables Question 2 Solution image

From the graph, it can be seen that the given lines cross each other at point (7, 3). Therefore, there are 7 girls and 3 boys in the class.

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