Discussion of Question with ID = 041 under Basic-Simplification

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Question

In a group of dogs and hens the number of legs is more than 2 times the number of heads by 32. What is the number of dogs?

A

16.

B

18.

C

14.

D

20.

Soln.
Ans: a

Let x be the number of dogs, and y the number of hens. Total number of legs = 4x + 2y. The total number of heads is x + y. So 4x + 2y = 2(x + y) + 32. Cancelling 2y, and solving for x, we get x = 16.


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