What three consecutive integers have a sum of 2875?

Here we will use algebra to find three consecutive integers whose sum is 2875. 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 2875. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 2875

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 = 2875
3X + 3 = 2875

3X + 3 - 3 = 2875 - 3
3X = 2872

3X/3 = 2872/3
X = 957 1/3

Since 957 1/3 is not an integer, there is no true answer to this problem.

However, there are three numbers that add up to 2875. The first number is (957 1/3), the second number is (957 1/3) + 1, and the third number is (957 1/3) + 2. Therefore, we could make this the answer to "Three consecutive numbers that add up to 2875 are?":

957 1/3 + 958 1/3 + 959 1/3 = 2875

Three Consecutive Integers
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What three consecutive integers have a sum of 2876?
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