Question

The sum of two numbers is twenty-four. The difference of the two numbers is four.

Answer 1

`x + y = 24`

`x - y = 4`

Now, add these two equations.

You get,

`2x = 28`

`x = (28)/(2)`

`x = 14`

Given,

`x + y = 24`

`14 + y = 24`

`y = 24 - 14`

`y = 10`

You can test this to the other equation as well.

`x - y = 4`

`14 - 10 = 4`

Hence, the two numbers are 14 and 10.