Question

The sum of two integers is 41, and their difference is 15. How do you find the integers?

Answer 1

`13` and `28`

Explanation:

I'm going to give the first integer the variable `x`, and the second integer the variable `y`.

Based on the given information, these are the resulting equations:

`x + y = 41` (The sum of two integers is 41)

`x - y = 15` (Their difference is 15)

I'm going to rearrange the second equation and substitute it into the first one:

`x - y = 15`

`x = 15 +y`

Now substitute:

`x + y = 41`

`(15 + y) + y = 41`

`15 + 2y = 41`

`2y = 26`

`y = 13`

Now substitute that into another equation to solve for `x`:

`x = 15 +y`

`x = 15 + 13`

`x = 28`