What three consecutive integers have a sum of 9459?

Here we will use algebra to find three consecutive integers whose sum is 9459. 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 9459. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 9459

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 = 9459
3X + 3 = 9459

3X + 3 - 3 = 9459 - 3
3X = 9456

3X/3 = 9456/3
X = 3152

Which means that the first number is 3152, the second number is 3152 + 1 and the third number is 3152 + 2. Therefore, three consecutive integers that add up to 9459 are 3152, 3153, and 3154.

3152 + 3153 + 3154 = 9459

We know our answer is correct because 3152 + 3153 + 3154 equals 9459 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 9460?
Here is the next algebra problem we solved.