In a group of cows and hens, the number of legs are 14 more than twice the number of heads. The number of cows is

Question: In a group of cows and hens, the number of legs are 14 more than twice the number of heads. The number of cows is
[A].

5

[B].

7

[C].

10

[D].

12

Answer: Option B

Explanation:

Let the number of cows be x and the number of hens be y.

Then, 4x + 2y = 2 (x + y) + 14 4x + 2y = 2x + 2y + 14 2x = 14 x = 7.