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Question

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


A

12

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B

14

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C

18

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D

16

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Solution

The correct option is A

12


Let x be the number of goats and y be the number of hens, then

Number of legs=4x+2y

Number of heads=x+y

Acc. To the given condition

4x+2y=2(x+y)+24

⇒ 2x = 24

⇒ x = 12


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