Question

The sum of three consecutive even integers is 114, what are the integers?

Answer 1

`36, 38, 40`

Explanation:

Let `x` be the smallest of these three numbers.
The next even number is, obviously, `x+2`.
The third one is `x+4`.

So, `x+(x+2)+(x+4)=114` or `3x+6=114`
From this equation we derive:
`x=36`
from which follows:
`x+2=38`
`x+4=40`