Question

How do you find the smallest of three consecutive integers whose sum is less than 86?

Answer 1

I found `27`

Explanation:

Let us call our integers:
`n`
`n+1`
`n+2`
so that:
`n+(n+1)+(n+2)<86`
`3n<86-3`
`3n<83`
`n<83/3`
`n<27.67`

Choosing `n=27`
`27+28+29=84<86` ok
Choosing `n=28`
`28+29+30=87>86` no