What three consecutive integers have a sum of 3531?

Here we will use algebra to find three consecutive integers whose sum is 3531. 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 3531. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 3531

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 = 3531
3X + 3 = 3531

3X + 3 - 3 = 3531 - 3
3X = 3528

3X/3 = 3528/3
X = 1176

Which means that the first number is 1176, the second number is 1176 + 1 and the third number is 1176 + 2. Therefore, three consecutive integers that add up to 3531 are 1176, 1177, and 1178.

1176 + 1177 + 1178 = 3531

We know our answer is correct because 1176 + 1177 + 1178 equals 3531 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 3532?
Here is the next algebra problem we solved.