How to find three consecutive integers whose sum is 336?

There's a quick, easy, sloppy way, and there's a good math way.

Here's the good math way:

If the integers are consecutive, then you can call them 'x', (x+1), and (x+2).

We know what their sum is, so let's add them up:

x + (x+1) + (x+2) = 336

x + x+1 + x+2 = 336

Combine the terms that are alike on the left side:

3x + 3 = 336

Subtract 3 from each side: 3x = 333

Divide each side by 3 : x = 111

The integers are 111, 112, and 113.