What three consecutive integers have a sum of 444?

Here we will use algebra to find three consecutive integers whose sum is 444. 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 444. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 444

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 = 444
3X + 3 = 444

3X + 3 - 3 = 444 - 3
3X = 441

3X/3 = 441/3
X = 147

Which means that the first number is 147, the second number is 147 + 1 and the third number is 147 + 2. Therefore, three consecutive integers that add up to 444 are 147, 148, and 149.

147 + 148 + 149 = 444

We know our answer is correct because 147 + 148 + 149 equals 444 as displayed above.

Three Consecutive Integers
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What three consecutive integers have a sum of 445?
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