What three consecutive integers have a sum of 288?

Here we will use algebra to find three consecutive integers whose sum is 288. 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 288. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 288

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 = 288
3X + 3 = 288

3X + 3 - 3 = 288 - 3
3X = 285

3X/3 = 285/3
X = 95

Which means that the first number is 95, the second number is 95 + 1 and the third number is 95 + 2. Therefore, three consecutive integers that add up to 288 are 95, 96, and 97.

95 + 96 + 97 = 288

We know our answer is correct because 95 + 96 + 97 equals 288 as displayed above.

Three Consecutive Integers
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What three consecutive integers have a sum of 289?
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