What three consecutive integers have a sum of 2031?

Here we will use algebra to find three consecutive integers whose sum is 2031. We start by assigning X to the first integer. Since they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 2031. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 2031

To solve for X, you first add the integers together and the X variables together. Then you subtract three from each side, followed by dividing by 3 on each side. Here is the work to show our math:

X + X + 1 + X + 2 = 2031
3X + 3 = 2031

3X + 3 - 3 = 2031 - 3
3X = 2028

3X/3 = 2028/3
X = 676

Which means that the first number is 676, the second number is 676 + 1 and the third number is 676 + 2. Therefore, three consecutive integers that add up to 2031 are 676, 677, and 678.

676 + 677 + 678 = 2031

We know our answer is correct because 676 + 677 + 678 equals 2031 as displayed above.

Three Consecutive Integers
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What three consecutive integers have a sum of 2032?
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