What three consecutive integers have a sum of 4893?

Here we will use algebra to find three consecutive integers whose sum is 4893. 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 4893. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 4893

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 = 4893
3X + 3 = 4893

3X + 3 - 3 = 4893 - 3
3X = 4890

3X/3 = 4890/3
X = 1630

Which means that the first number is 1630, the second number is 1630 + 1 and the third number is 1630 + 2. Therefore, three consecutive integers that add up to 4893 are 1630, 1631, and 1632.

1630 + 1631 + 1632 = 4893

We know our answer is correct because 1630 + 1631 + 1632 equals 4893 as displayed above.

Three Consecutive Integers
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