Question

The sum of two consecutive even integers is 106, what are the integers?

Answer 1

The two consecutive even numbers are `52 and 54`.

Explanation:

Let the smaller of the two consecutive even integers be `x`;
the larger one must be `x+2`

If their sum is 106:
`color(white)("XXXX")` `(x)+(x+2) = 106`

`color(white)("XXXX")` `2x+2 = 106`

`color(white)("XXXX")` `2x = 104`

`color(white)("XXXX")` `x = 52`