What three consecutive integers have a sum of 2847?

Here we will use algebra to find three consecutive integers whose sum is 2847. 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 2847. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 2847

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 = 2847
3X + 3 = 2847

3X + 3 - 3 = 2847 - 3
3X = 2844

3X/3 = 2844/3
X = 948

Which means that the first number is 948, the second number is 948 + 1 and the third number is 948 + 2. Therefore, three consecutive integers that add up to 2847 are 948, 949, and 950.

948 + 949 + 950 = 2847

We know our answer is correct because 948 + 949 + 950 equals 2847 as displayed above.

Three Consecutive Integers
Enter another number below to find what three consecutive integers add up to its sum.

What three consecutive integers have a sum of 2848?
Here is the next algebra problem we solved.