Question

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

• A. 5
• B. 7
• C. 10
• D. 12
• E. can't be determined

Answer 1

The correct option is B 7

Let there be x cows and y hens A cow has 4 legs and a hen has 2 legs
$\Rightarrow 4x+2y=2(x+y)+14$

$\Rightarrow 4x-2x+2y-2y=14$

$\Rightarrow 2x=14$
$\Rightarrow x=7$