Question

What are four consecutive even integers whose sum is 340?

Answer 1

Suppose the even numbers are `n`, `n+2`, `n+4` and `n+6`.

Then

`340 = n + (n+2) + (n+4) + (n+6) = 4n+12`

Subtract `12` from both ends to get

`4n = 328`

Divide both ends by `4` to get

`n = 82`

So the four numbers are: `82`, `84`, `86` and `88`.