What three consecutive integers have a sum of 6399?

Here we will use algebra to find three consecutive integers whose sum is 6399. 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 6399. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 6399

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 = 6399
3X + 3 = 6399

3X + 3 - 3 = 6399 - 3
3X = 6396

3X/3 = 6396/3
X = 2132

Which means that the first number is 2132, the second number is 2132 + 1 and the third number is 2132 + 2. Therefore, three consecutive integers that add up to 6399 are 2132, 2133, and 2134.

2132 + 2133 + 2134 = 6399

We know our answer is correct because 2132 + 2133 + 2134 equals 6399 as displayed above.

Three Consecutive Integers
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