Question

If the sum of three consecutive integers is 84, what are the integers?

Answer 1

`27,28,29`

Explanation:

Call the first integer `n`. Then, the next two consecutive integers must be `n+1` and `n+2`. Since all three integers' sum is `84`, we can say that

`n+(n+1)+(n+2)=84`

Grouping like terms:

`3n+3=84`

`3n=81`

`n=27`

Thus the other two integers are `28` and `29`.