Question

when an amount was distributed among 14 boys , each of them got Rs. 80 more than the amount received by each boy when the same amount is distributed equally among 18 boys . what was the amount?

Answer 1

Let us total amount be Rs. x.
amount distributed among 14 boys, each will get Rs. x/14.
amount distributed among 18 boys, each will get Rs. x/18.

So according to question,
x/14 = x/18 + 80
x/14 - x/18 = 80
18x - 14x/252 = 80
4x = 80 x 252 = 20160
x = 20160/4 = Rs. 5040. is the answer.
hope this will help.

Answer 2

x/14 = x/18 + 80
x/14 - x/18 = 80
18x - 14x/252 = 80
4x = 80 x 252 = 20160
x = 20160/4 = Rs. 5040. is the answer.