What three consecutive integers have a sum of 6618?

Here we will use algebra to find three consecutive integers whose sum is 6618. 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 6618. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 6618

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 = 6618
3X + 3 = 6618

3X + 3 - 3 = 6618 - 3
3X = 6615

3X/3 = 6615/3
X = 2205

Which means that the first number is 2205, the second number is 2205 + 1 and the third number is 2205 + 2. Therefore, three consecutive integers that add up to 6618 are 2205, 2206, and 2207.

2205 + 2206 + 2207 = 6618

We know our answer is correct because 2205 + 2206 + 2207 equals 6618 as displayed above.

Three Consecutive Integers
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What three consecutive integers have a sum of 6619?
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