Question

There are hens and goats in field.their head and legs counts are 80 and200 respectively.how many hens are there

Answer 1

Answer:

40

Explanation:

there will be two legs for one hen i. e. we divide 80 by 2=40

Answer 2

Answer:

20 goats and 60 hens!

Explanation:

Let, no. of hens = x

legs of hens = 2x

Let, no. of goats = y

legs of goats = 4y

x + y = 80 -- EQ. 1 { As the no. of heads are equal to the number of goats and hens in field}

2x + 4y = 200 -- EQ. 2 { Legs of the goats and hens}

Solving eq. 1 and eq. 2:

We get,

y = 20

x = 60