The sum of three consecutive integers is - 204. What is the largest integer?

When looking for the sum of consecutive integers, use the following equation:

x + (x + 1) + (x + 2) = whatever they equal

In this case, that would be x + (x + 1) + (x + 2) = - 204.

You have to simplify before solving. To do this, just combine like terms and isolate the variable.

Simplify:

3x + 3 = - 204

Isolate the variable:

3x / 3 = x

-204 / 3 = - 68

3 - 3 = 0

-68 - 3 = - 71

x = - 71

If x is - 71, then the other 2 consecutive integers (x + 1 and x + 2) would be - 70 and - 69.

The largest of these is - 69, so that's the answer.

The answer to your question is - 67