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If in a group of goats and hens, the number of legs is 24 more than twice the number of heads, then the number of goats in the group is

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answer is D.

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Detailed Solution

Let x be the number of goats

Let y be the number of hens

According to question

$\begin{array}{l} 4 x + 2 y = 2 (x + y) + 24 \\ 4 x + 2 y = 2 x + 2 y + 24 \\ 2 x = 24 \Rightarrow x = 12 \end{array}$

Hence the number of goats are 12.

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