What three consecutive integers have a sum of 6858?

Here we will use algebra to find three consecutive integers whose sum is 6858. 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 6858. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 6858

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 = 6858
3X + 3 = 6858

3X + 3 - 3 = 6858 - 3
3X = 6855

3X/3 = 6855/3
X = 2285

Which means that the first number is 2285, the second number is 2285 + 1 and the third number is 2285 + 2. Therefore, three consecutive integers that add up to 6858 are 2285, 2286, and 2287.

2285 + 2286 + 2287 = 6858

We know our answer is correct because 2285 + 2286 + 2287 equals 6858 as displayed above.

Three Consecutive Integers
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What three consecutive integers have a sum of 6859?
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