What three consecutive integers have a sum of 4431?

Here we will use algebra to find three consecutive integers whose sum is 4431. 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 4431. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 4431

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 = 4431
3X + 3 = 4431

3X + 3 - 3 = 4431 - 3
3X = 4428

3X/3 = 4428/3
X = 1476

Which means that the first number is 1476, the second number is 1476 + 1 and the third number is 1476 + 2. Therefore, three consecutive integers that add up to 4431 are 1476, 1477, and 1478.

1476 + 1477 + 1478 = 4431

We know our answer is correct because 1476 + 1477 + 1478 equals 4431 as displayed above.

Three Consecutive Integers
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What three consecutive integers have a sum of 4432?
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