(Q.37). 10 students of Class-X took part in a mathematics quiz. If the number of girls is 4 more than the number of boys then, find the number of boys and the number of girls who took part in the quiz.

Let the number of boys be x.

Then the number of girls = x +

By problem, x + x + = 10

∴ 2x + = 10

2x = 10 -

x =
=

∴ Boys = Girls = + 4 = (or)

Boys = x, Girls = y

By problem x + y = 10 (total)

and y = x + 4 (girls)

⇒ x + y = 10 and x – y = – 4

x + y = 10
x y (x,y)
6 (6,)
4 (4,)
x - y = - 4
x y (x,y)
4 (4,)
2 (2,)

∴ Number of boys = and the number of girls =