What three consecutive integers have a sum of 3843?

Here we will use algebra to find three consecutive integers whose sum is 3843. 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 3843. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 3843

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 = 3843
3X + 3 = 3843

3X + 3 - 3 = 3843 - 3
3X = 3840

3X/3 = 3840/3
X = 1280

Which means that the first number is 1280, the second number is 1280 + 1 and the third number is 1280 + 2. Therefore, three consecutive integers that add up to 3843 are 1280, 1281, and 1282.

1280 + 1281 + 1282 = 3843

We know our answer is correct because 1280 + 1281 + 1282 equals 3843 as displayed above.

Three Consecutive Integers
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What three consecutive integers have a sum of 3844?
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