What three consecutive integers have a sum of 54?

Here we will use algebra to find three consecutive integers whose sum is 54. 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 54. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 54

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 = 54
3X + 3 = 54

3X + 3 - 3 = 54 - 3
3X = 51

3X/3 = 51/3
X = 17

Which means that the first number is 17, the second number is 17 + 1 and the third number is 17 + 2. Therefore, three consecutive integers that add up to 54 are 17, 18, and 19.

17 + 18 + 19 = 54

We know our answer is correct because 17 + 18 + 19 equals 54 as displayed above.

Three Consecutive Integers
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What three consecutive integers have a sum of 55?
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