What three consecutive integers have a sum of 3423?

Here we will use algebra to find three consecutive integers whose sum is 3423. 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 3423. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 3423

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 = 3423
3X + 3 = 3423

3X + 3 - 3 = 3423 - 3
3X = 3420

3X/3 = 3420/3
X = 1140

Which means that the first number is 1140, the second number is 1140 + 1 and the third number is 1140 + 2. Therefore, three consecutive integers that add up to 3423 are 1140, 1141, and 1142.

1140 + 1141 + 1142 = 3423

We know our answer is correct because 1140 + 1141 + 1142 equals 3423 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 3424?
Here is the next algebra problem we solved.