Question

If the sum of three consecutive odd integers is -87, what are the integers?

Answer 1

Let's call the integers `n,n+2,n+4` as there is always a difference of `2` between consecutive odd integers.

Explanation:

Then `n+(n+2)+(n+4)=-87`
`->3n+6=-87` subtract 6 on both sides
`->3n+cancel6-cancel6=-87-6`
`->3n=-93->n=(-93)/3=-31`

So the numbers are `-31,-29,-27`