Question

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:

• A. $18$
• B. $16$
• C. $14$
• D. $12$

Answer 1

Answer: (D)

$12$

Let the number of goats $=x$
Let the number of hens$=y$
Total number of legs $=4x+2y$
Total number of heads $=x+y$
Thus, $4x+2y-2(x+y)=24$
$\Rightarrow 2x=24$
$\Rightarrow x=12$
Therefore, number of goats $=12$
Hence, option $D$ is correct.