What three consecutive integers have a sum of 9570?

Here we will use algebra to find three consecutive integers whose sum is 9570. 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 9570. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 9570

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 = 9570
3X + 3 = 9570

3X + 3 - 3 = 9570 - 3
3X = 9567

3X/3 = 9567/3
X = 3189

Which means that the first number is 3189, the second number is 3189 + 1 and the third number is 3189 + 2. Therefore, three consecutive integers that add up to 9570 are 3189, 3190, and 3191.

3189 + 3190 + 3191 = 9570

We know our answer is correct because 3189 + 3190 + 3191 equals 9570 as displayed above.

Three Consecutive Integers
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What three consecutive integers have a sum of 9571?
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