What three consecutive integers have a sum of 2931?

Here we will use algebra to find three consecutive integers whose sum is 2931. 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 2931. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 2931

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 = 2931
3X + 3 = 2931

3X + 3 - 3 = 2931 - 3
3X = 2928

3X/3 = 2928/3
X = 976

Which means that the first number is 976, the second number is 976 + 1 and the third number is 976 + 2. Therefore, three consecutive integers that add up to 2931 are 976, 977, and 978.

976 + 977 + 978 = 2931

We know our answer is correct because 976 + 977 + 978 equals 2931 as displayed above.

Three Consecutive Integers
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What three consecutive integers have a sum of 2932?
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