What three consecutive integers have a sum of 3699?

Here we will use algebra to find three consecutive integers whose sum is 3699. 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 3699. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 3699

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 = 3699
3X + 3 = 3699

3X + 3 - 3 = 3699 - 3
3X = 3696

3X/3 = 3696/3
X = 1232

Which means that the first number is 1232, the second number is 1232 + 1 and the third number is 1232 + 2. Therefore, three consecutive integers that add up to 3699 are 1232, 1233, and 1234.

1232 + 1233 + 1234 = 3699

We know our answer is correct because 1232 + 1233 + 1234 equals 3699 as displayed above.

Three Consecutive Integers
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What three consecutive integers have a sum of 3700?
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