What three consecutive integers have a sum of 7770?

Here we will use algebra to find three consecutive integers whose sum is 7770. 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 7770. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 7770

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 = 7770
3X + 3 = 7770

3X + 3 - 3 = 7770 - 3
3X = 7767

3X/3 = 7767/3
X = 2589

Which means that the first number is 2589, the second number is 2589 + 1 and the third number is 2589 + 2. Therefore, three consecutive integers that add up to 7770 are 2589, 2590, and 2591.

2589 + 2590 + 2591 = 7770

We know our answer is correct because 2589 + 2590 + 2591 equals 7770 as displayed above.

Three Consecutive Integers
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What three consecutive integers have a sum of 7771?
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