What three consecutive integers have a sum of 4101?

Here we will use algebra to find three consecutive integers whose sum is 4101. 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 4101. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 4101

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 = 4101
3X + 3 = 4101

3X + 3 - 3 = 4101 - 3
3X = 4098

3X/3 = 4098/3
X = 1366

Which means that the first number is 1366, the second number is 1366 + 1 and the third number is 1366 + 2. Therefore, three consecutive integers that add up to 4101 are 1366, 1367, and 1368.

1366 + 1367 + 1368 = 4101

We know our answer is correct because 1366 + 1367 + 1368 equals 4101 as displayed above.

Three Consecutive Integers
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What three consecutive integers have a sum of 4102?
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