Question

the sum of three consecutive even integers is 126. let x represent the least consecutive Integra. what is the greatest consecutive integer?

Answer 1

First, we need to see how to get from one even integer to another. Well, what do you do to get from 2 to 4? 4 to 6? You add 2. If x is even, then the next even number must be x+2, and then the next x+4, and x+6, and so on. Since we're only going 3, we have:
x + (x+2) + (x+4) = 126. Now we can just solve the equation!

x + x + 2 + x + 4 = 126
3x + 6 = 126.
3x = 120.
x=40. But is that your answer? Nope! Don't forget, the problem says that x is the smallest number out of the 3. Which means 40 + 2 is the middle number, and 40 + 4 = 44 is the greatest.

Your answer is 44.

Don't forget to rate this answer the Brainliest!