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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.