What three consecutive integers have a sum of 5187?

Here we will use algebra to find three consecutive integers whose sum is 5187. 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 5187. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 5187

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 = 5187
3X + 3 = 5187

3X + 3 - 3 = 5187 - 3
3X = 5184

3X/3 = 5184/3
X = 1728

Which means that the first number is 1728, the second number is 1728 + 1 and the third number is 1728 + 2. Therefore, three consecutive integers that add up to 5187 are 1728, 1729, and 1730.

1728 + 1729 + 1730 = 5187

We know our answer is correct because 1728 + 1729 + 1730 equals 5187 as displayed above.

Three Consecutive Integers
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What three consecutive integers have a sum of 5188?
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