Question

In a stable there are men and horses. In all, there are 22 heads and 72 feet. How many men and how many horses are in the stable?


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Answer 1

Step-by-step explanation:

Let the number of men be x.

Let the number of horses be y.

Since both horse and man have only 1 head, so,

x + y = 22 [Equation 1]

Horse has 4 feet while man has 2 feet, so,

2x + 4y = 72

x + 2y = 36 [Equation 2]

Subtracting eq 1 from 2,

y = 14

From 1,

x + y = 22

x = 8

Therefore,

number of man = 8

number of horses = 14