What three consecutive integers have a sum of 5556?

Here we will use algebra to find three consecutive integers whose sum is 5556. 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 5556. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 5556

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 = 5556
3X + 3 = 5556

3X + 3 - 3 = 5556 - 3
3X = 5553

3X/3 = 5553/3
X = 1851

Which means that the first number is 1851, the second number is 1851 + 1 and the third number is 1851 + 2. Therefore, three consecutive integers that add up to 5556 are 1851, 1852, and 1853.

1851 + 1852 + 1853 = 5556

We know our answer is correct because 1851 + 1852 + 1853 equals 5556 as displayed above.

Three Consecutive Integers
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