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A farmer divides his herd of k cows among his 4 sons, so that one son gets one half of the herd, the second gets one-fourth, the third gets one-fifth and the fourth gets 9 cows. Then k is equal to ?

Correct Answer: 180

Given total number of cows = kNow, 1st son share = k/22nd son share = k/43rd son share = k/54th son share = 9

(k) + (k/4) + (k/5) + 9 = k=> k - (19k/20) = 9=> (20k-19k)/20 = 9=> k = 180.

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