Question

There are 11 more goats than sheep in the farm. Together there are 137 animals in the farm. How many goats and how many sheep are there?

Answer 1

The number of goats in the farm is
`74`

The number of sheep in the farm is
`63`

Explanation:

Let

x----> the number of goats in the farm

y----> the number of sheep

we know that

`x+y=137` ----> equation A

`x=y+11` -----> equation B

substitute the equation B in equation A and solve for y

`(y+11)+y=137`

`2y=137-11`

`2y=126`

`y=126/2=63`

Find the value of x

`x=63+11=74`

therefore

The number of goats in the farm is
`74`

The number of sheep in the farm is
`63`