What three consecutive integers have a sum of 5595?

Here we will use algebra to find three consecutive integers whose sum is 5595. 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 5595. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 5595

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 = 5595
3X + 3 = 5595

3X + 3 - 3 = 5595 - 3
3X = 5592

3X/3 = 5592/3
X = 1864

Which means that the first number is 1864, the second number is 1864 + 1 and the third number is 1864 + 2. Therefore, three consecutive integers that add up to 5595 are 1864, 1865, and 1866.

1864 + 1865 + 1866 = 5595

We know our answer is correct because 1864 + 1865 + 1866 equals 5595 as displayed above.

Three Consecutive Integers
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What three consecutive integers have a sum of 5596?
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