Math questiabout for my high school class in chiolllll

Hi omar,

First, lets make sure we know exactly what we need to find. Three consecutive integers, so there are three unknowns. We could start out by saying that each of these integers needs a label: x_{1}, x_{2}, and x_{3}. But the key piece of information here is the word consecutive, meaning following one after the other without interruption. 10 and 11 are consecutive numbers, 11 and 12 are consecutive numbers, and they differ by 1. So, I'll call one integer x and the other two integers x + 1 and x + 2.

The second piece of information is "whose sum is -33". Add them up and set it to -33

x + (x + 1) + (x + 2) = -33

In the last equation, x is the first integer, x + 1 is the next one, and x + 2 is the third integer. Now, combine like terms.

3x + 3 = -33

Subtract 3 from both sides

3x = -36

Divide by 3

x = -12

Adding 1 and 2 gives -11 and -10.

Now check your answer.

-12 + -11 + -10 = -33.