What three consecutive integers have a sum of 1062?

Here we will use algebra to find three consecutive integers whose sum is 1062. 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 1062. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 1062

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 = 1062
3X + 3 = 1062

3X + 3 - 3 = 1062 - 3
3X = 1059

3X/3 = 1059/3
X = 353

Which means that the first number is 353, the second number is 353 + 1 and the third number is 353 + 2. Therefore, three consecutive integers that add up to 1062 are 353, 354, and 355.

353 + 354 + 355 = 1062

We know our answer is correct because 353 + 354 + 355 equals 1062 as displayed above.

Three Consecutive Integers
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What three consecutive integers have a sum of 1063?
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