What three consecutive integers have a sum of 8133?

Here we will use algebra to find three consecutive integers whose sum is 8133. 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 8133. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 8133

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 = 8133
3X + 3 = 8133

3X + 3 - 3 = 8133 - 3
3X = 8130

3X/3 = 8130/3
X = 2710

Which means that the first number is 2710, the second number is 2710 + 1 and the third number is 2710 + 2. Therefore, three consecutive integers that add up to 8133 are 2710, 2711, and 2712.

2710 + 2711 + 2712 = 8133

We know our answer is correct because 2710 + 2711 + 2712 equals 8133 as displayed above.

Three Consecutive Integers
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What three consecutive integers have a sum of 8134?
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