What three consecutive integers have a sum of 2859?

Here we will use algebra to find three consecutive integers whose sum is 2859. 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 2859. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 2859

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 = 2859
3X + 3 = 2859

3X + 3 - 3 = 2859 - 3
3X = 2856

3X/3 = 2856/3
X = 952

Which means that the first number is 952, the second number is 952 + 1 and the third number is 952 + 2. Therefore, three consecutive integers that add up to 2859 are 952, 953, and 954.

952 + 953 + 954 = 2859

We know our answer is correct because 952 + 953 + 954 equals 2859 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 2860?
Here is the next algebra problem we solved.