Question

A farmer divides his herd of n cows among his four sons so that one son gets one-half the herd , a second son ,one forth, a third son, one fifth , and the forth son , $7$ cows.Then n is :

Answer 1

According to question

$\frac{n}{2}+\frac{n}{4}+\frac{n}{5}+7=n$

$\Rightarrow \left(\frac{10+5+4}{20}\right)n+7=n$

$\Rightarrow \frac{n}{20}=7\Rightarrow n=140$