A farmer divides his herd of n cows among his four sons so that one son gets one-half the herd, the second, one-fourth, the third son, one-fifth and the fourth, 7 cows, then n is - IQ786

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A farmer divides his herd of n cows among his four sons so that one son gets one-half the herd, the second, one-fourth, the third son, one-fifth and the fourth, 7 cows, then n is

A farmer divides his herd of n cows among his four sons so that one son gets one-half the herd, the second, one-fourth, the third son, one-fifth and the fourth, 7 cows, then n is

220

229

140

None of these

Explanation

There are $n$ cows:
First son gets: $\frac{n}{2}$

Second son gets: $\frac{n}{4}$

Third son gets: $\frac{n}{5}$

Fourth son gets: $7$ cows

Therefore, sum of cows each son gets equals the total number of cows
$\frac{n}{2} + \frac{n}{4} + \frac{n}{5} + 7 = n$
$7 = \frac{n}{2 0}$
$n = 140$