Question

The sum of two numbers is 30 and their difference is 6

Answer 1

I'm going to assume that you are trying to find the two numbers. Based on the information in the problem, we can create the following equations (where
`a` and
`b` are the two numbers):

`a + b = 30`

`a - b = 6`

We have a systems of equations. In this case, it would be easier to use elimination by adding vertically. This produces the result:

`2a = 36`

`a = 18`

To find
`b`, substitute the value for
`a` into one of the earlier equations:

`18 + b = 30`

`b = 12`

The two numbers are 12 and 18.