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A farmer has a certain number of hens and buffaloes. If the number of heads of all buffaloes and hens is counted, they add up to 80. When their feet are counted, they add up to 200. What is the number of buffaloes that the farmer has?

A farmer has a certain number of hens and buffaloes. If the number of heads of all buffaloes and hens is counted, they add up to 80. When their feet are counted, they add up to 200. What is the number of buffaloes that the farmer has? Correct Answer 20

Consider,

X be the number of buffaloes and Y be the number of hens.

Therefore, X + Y = 80       ---(1)

We know that buffaloes have 4 feet and hens have 2 feet.

Therefore, 4X + 2Y = 200       ---(2)

Solving equations (1) and (2), we get,

X = 20 and Y = 60

Therefore, Farmer has 20 buffaloes and 60 hens.

Hence, the correct answer is 20.

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