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.