Question

10 students of 10th class participated in a Quiz programme. The number of girls participated in it is 4 more than boys. So find the number of boys and girls participated in Quiz.

Answer 1

Let the number of girls = x (say) and the number of boys = y (say) then total students =

 x + y -10 …………… (1) 

and also 

The number of girls = number of boys + 4 

x = y + 4 …………….(2) 

Put this ‘x’ value in equation (1), we get 

y + 4 + y = 10 

⇒ 2y + 4 = 10 

⇒ 2y = 10 – 4 = 6 

∴ y = 6/2 = 3

So y = 3 then 

x + y = 10 becomes 

x + 3 = 10 

⇒ x = 10-3 

∴ x = 7 

So the number of girls = 7 and the number of boys = 3.