Question 143

A farmer divides his herd of n cows among his four sons, so that the first son gets one half the herd, the second one fourth, the third son 1/5 and the fourth son 7 cows. Then the value of n is

Solution

total herd = n

1st son = n/2

2nd son = n/4

3rd son = n/5

4th son = n - (n/2 + n/4 + n/5) = n/20 = 7

n = 140

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A farmer divides his herd of n cows among his four sons, so that the first son gets one­ half the herd, the second one ­fourth, the third son 1/5 and the fourth son 7 cows. Then the value of n is