Question

One day, a person went to horse racing area, Instead of counting the number of human and horses, he instead counted 74 heads and 196 legs. Yet he knew the number of humans and horses there. How many humans and horses are there?

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Answer 1

Answer:

74 divided by 2, since a human is riding a horse = 37 humans

Then for the legs 196/4 since a horse has 4 legs =

49 horses

Answer 2

Answer:

Let the number of horses be x and the number of humans be y.

Now,

x+y = 74 (equation i)

Since, human has 2 legs and horse has 4 legs.

Therefore

4x + 2y = 196 ( equation ii)

Subtracting ii from 4 × i

4x + 4y - (4x + 2y) = 296 - 196

4x + 4y - 4x - 2y = 100

2y = 100

y = 50

&

Putting value of y in equation i

x + 50 = 74

x = 24

So there are 24 horses and 50 humans.

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Explanation: