What three consecutive integers have a sum of 4377?

Here we will use algebra to find three consecutive integers whose sum is 4377. 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 4377. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 4377

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 = 4377
3X + 3 = 4377

3X + 3 - 3 = 4377 - 3
3X = 4374

3X/3 = 4374/3
X = 1458

Which means that the first number is 1458, the second number is 1458 + 1 and the third number is 1458 + 2. Therefore, three consecutive integers that add up to 4377 are 1458, 1459, and 1460.

1458 + 1459 + 1460 = 4377

We know our answer is correct because 1458 + 1459 + 1460 equals 4377 as displayed above.

Three Consecutive Integers
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What three consecutive integers have a sum of 4378?
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