Question

Rs 250 is divided equally among acertain number of children. If there were 25 more children, each would have received 50 Paise less. Find the number of Children?

Answer 1

Hello,
Let the number of children be n.
so, money received by each child is :
Rs=250/n

According to the question, if there were 25 more children, each would have received 50 paise less.
Then:
(n+250)(250/n-0.5)=250;
250-1/2n+6250/n-25/2=250;
n²+25n-12500=0;
(n+125)(n-100)=0
n+125=0 or n-100=0;
n=-125 or n=100

As the number of children can not be negative, therefore,  number of children, is:

n=100

bye :-)

Answer 2

Hello..

Rs 250 were equally divided among a certain number of children.

Let the number of children be x.

∴Money received by each child =Rs 250/x