What three consecutive integers have a sum of 594?

Here we will use algebra to find three consecutive integers whose sum is 594. 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 594. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 594

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 = 594
3X + 3 = 594

3X + 3 - 3 = 594 - 3
3X = 591

3X/3 = 591/3
X = 197

Which means that the first number is 197, the second number is 197 + 1 and the third number is 197 + 2. Therefore, three consecutive integers that add up to 594 are 197, 198, and 199.

197 + 198 + 199 = 594

We know our answer is correct because 197 + 198 + 199 equals 594 as displayed above.

Three Consecutive Integers
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What three consecutive integers have a sum of 595?
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