Question

A sum of money was distributed equally among a certain number of children . If there were 10 children more, each would get a rupee less. But if there were 15 children less,each would get 3 rupees more. Find the sum of money and also the number of children.

Answer 1

Let the sum of rupee be x  no of boys be y then each boy get x/y now if the no of boys increased by 10 each boy get x/(y+10) = (x/y)-1 => x/(y+10) = (x-y)/y .........

(1) now case 2nd if no of boys decrease by 15 each boy get

x/(y-15)= (x/y) +3 => x/(y-15) = (x+3y)/y ...........

(2) solve the equations and get the answer

Answer 2

But if there were 15 childrn less each would get 3 rupees the sum of money = 5 if there 10 children 10×5 =50 ans