Question

How do you find the two greatest consecutive even integers whose sum is less than 217?

Answer 1

The two greatest consecutive even integers are `106 and 108`

Explanation:

Let the two consecutive even integers are `2n and 2n+2`

Their sum is `2n+2n+2=4n+2 <217 or 4n < 215 or 2n < 107.5`

So the even number before `107.5` is `2n= 106 and 2n+2=106+2=108`

The two greatest consecutive even integers are `106 and 108` [Ans]