What three consecutive integers have a sum of 8643?

Here we will use algebra to find three consecutive integers whose sum is 8643. 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 8643. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 8643

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 = 8643
3X + 3 = 8643

3X + 3 - 3 = 8643 - 3
3X = 8640

3X/3 = 8640/3
X = 2880

Which means that the first number is 2880, the second number is 2880 + 1 and the third number is 2880 + 2. Therefore, three consecutive integers that add up to 8643 are 2880, 2881, and 2882.

2880 + 2881 + 2882 = 8643

We know our answer is correct because 2880 + 2881 + 2882 equals 8643 as displayed above.

Three Consecutive Integers
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What three consecutive integers have a sum of 8644?
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