Men and Horse Puzzle

Another simple 8th standard mathematics question

In a stable there are men and horses.

In all, there are 22 heads and 72 feet.

how many men and horses are in stable.

Men : 1 head and 2 feet.

Horse = 1 head and 4 feet.

so head count would be

Number of Men + Number of Horses = 22

=> Number of men = 22 – Number of horses (i)

feet count would be

2 * (Number of men) + 4 * (Number of horses) = 72

(divide the whole equation by 2)
=> Number of Men + 2 * (Number of horses) = 36

(replace Number of Men from above equation (i))
=> 22 – Number of horses + 2 * (Number of horses) = 36

=> Number of Horses = 14

and Number of Men = 8

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