Question

Three consecutive integers add up to 24. What are they?

Answer 1

`7`, `8`, and `9`

Explanation:

Integer 1: `n`
Integer 2: `n+1`
Integer 3: `n+2`

I added `1` or `2` to `n` because we don't know what number is after `n`, but we do know that they are consecutive.

Let's add these three integers and let them equal `24`.

`n + (n+1) + (n+2) = 24`

Solve for `n`.

`3n + 3 = 24`

`3n = 21`

`n = 7`

We found that `n` is equal to `7`. We can simply add `1` to find the next integer and add `2` to find the third integer. The three integers are `7`, `8`, and `9`.