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:
1. 5
2. 7
3. 10
4. 12

Answer 1

Correct Answer - Option 2 : 7

Given:

The number of legs is 14 more than twice the number of heads.

Concept used:

A cow has 4 legs and a hen has 2 legs.

Calculation:

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

According to the question,

4x + 2y = 2(x + y) + 14

⇒ 4x + 2y = 2x + 2y + 14

⇒ 4x + 2y = 2x + 2y + 14

⇒ 2x = 14

⇒ x = 14/2

⇒ x = 7

∴ The number of cows is 7.