Question

A farmer divided his herd of x cows among his 4 sons so that one son gets one half of the herd, the second gets one-fourth, the third son gets one-fifth and the fourth gets 7 crows . Then x is

• A. 100
• B. 140
• C. 0
• D. 1

Answer 1

The correct option is B 140

Given that:

No. of cows $=x$

According to the question,

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

$\frac{10x+5x+4x}{20}+7=x$

$19x+140=20x$

$x=140.$

Hence, no. of cows are $140.$