What three consecutive integers have a sum of 2226?

Here we will use algebra to find three consecutive integers whose sum is 2226. 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 2226. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 2226

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 = 2226
3X + 3 = 2226

3X + 3 - 3 = 2226 - 3
3X = 2223

3X/3 = 2223/3
X = 741

Which means that the first number is 741, the second number is 741 + 1 and the third number is 741 + 2. Therefore, three consecutive integers that add up to 2226 are 741, 742, and 743.

741 + 742 + 743 = 2226

We know our answer is correct because 741 + 742 + 743 equals 2226 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 2227?
Here is the next algebra problem we solved.