What three consecutive integers have a sum of 6231?

Here we will use algebra to find three consecutive integers whose sum is 6231. 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 6231. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 6231

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 = 6231
3X + 3 = 6231

3X + 3 - 3 = 6231 - 3
3X = 6228

3X/3 = 6228/3
X = 2076

Which means that the first number is 2076, the second number is 2076 + 1 and the third number is 2076 + 2. Therefore, three consecutive integers that add up to 6231 are 2076, 2077, and 2078.

2076 + 2077 + 2078 = 6231

We know our answer is correct because 2076 + 2077 + 2078 equals 6231 as displayed above.

Three Consecutive Integers
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What three consecutive integers have a sum of 6232?
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