What three consecutive integers have a sum of 7377?

Here we will use algebra to find three consecutive integers whose sum is 7377. 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 7377. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 7377

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 = 7377
3X + 3 = 7377

3X + 3 - 3 = 7377 - 3
3X = 7374

3X/3 = 7374/3
X = 2458

Which means that the first number is 2458, the second number is 2458 + 1 and the third number is 2458 + 2. Therefore, three consecutive integers that add up to 7377 are 2458, 2459, and 2460.

2458 + 2459 + 2460 = 7377

We know our answer is correct because 2458 + 2459 + 2460 equals 7377 as displayed above.

Three Consecutive Integers
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What three consecutive integers have a sum of 7378?
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