What three consecutive integers have a sum of 2181?




Here we will use algebra to find three consecutive integers whose sum is 2181. 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 2181. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 2181


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 = 2181
3X + 3 = 2181

3X + 3 - 3 = 2181 - 3
3X = 2178

3X/3 = 2178/3
X = 726

Which means that the first number is 726, the second number is 726 + 1 and the third number is 726 + 2. Therefore, three consecutive integers that add up to 2181 are 726, 727, and 728.

726 + 727 + 728 = 2181

We know our answer is correct because 726 + 727 + 728 equals 2181 as displayed above.


Three Consecutive Integers
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What three consecutive integers have a sum of 2182?
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