# How do you find three consecutive even integers whose sum is 244?

##### 2 Answers

Jun 13, 2015

There are no three consecutive even integers whose sum is 244.

Jun 13, 2015

To attempt to find three such integers, you could solve

#### Explanation:

If there are three such integers then they are of the form

Then we have:

Subtract

Divide both sides by

which is not an integer, let alone an even one.

So there is no solution.