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A certain number of horses and an equal number of men are going somewhere. Half of the owners are on their horses' back while the remaining ones are walking along leading their horses. If the number of legs walking on the ground is 70, how many horses are there?

A certain number of horses and an equal number of men are going somewhere. Half of the owners are on their horses' back while the remaining ones are walking along leading their horses. If the number of legs walking on the ground is 70, how many horses are there? Correct Answer 14

Given:

The number of Horses = The number of Men

The total number of legs walking on the ground = 70

Calculation:

Let, 'X' be the number of horses and 'Y' be the number of men.

Since Horse has 4 legs and a man has 2 legs.

The number of legs walking on the ground is,

⇒ 4X + 2(Y/2) = 70      ----(1)

Y/2 is taken because it is given that Half of the men are on their horses' backs and they are not walking on the ground.

⇒ 4X + Y = 70      ----(2)

As we know,

The number of Horses = The number of Men

⇒ X = Y      ----(3)

Therefore, equation (2) becomes,

⇒ 4X + X = 70

⇒ 5X = 70

⇒ X + 70/​5

​⇒ X = 14

Therefore, 14 horses and 14 men are there.

Hence, the correct answer is 14.

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