Question

How do you find three consecutive integers whose sum is -93?

Answer 1

`{-32, -31, -30}`

Explanation:

Let `n` be the least of the three consecutive integers. Then the integers are `n, n+1`, and `n+2`, and we have that

`n+(n+1)+(n+2) = -93`

`=> 3n+3 = -93`

`=> 3n = -96`

`=> n = -32`

Substituting that into `{n, n+1, n+2}`, we get the solution set `{-32, -31, -30}`