What three consecutive integers have a sum of 7005?

Here we will use algebra to find three consecutive integers whose sum is 7005. 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 7005. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 7005

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 = 7005
3X + 3 = 7005

3X + 3 - 3 = 7005 - 3
3X = 7002

3X/3 = 7002/3
X = 2334

Which means that the first number is 2334, the second number is 2334 + 1 and the third number is 2334 + 2. Therefore, three consecutive integers that add up to 7005 are 2334, 2335, and 2336.

2334 + 2335 + 2336 = 7005

We know our answer is correct because 2334 + 2335 + 2336 equals 7005 as displayed above.

Three Consecutive Integers
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