What three consecutive integers have a sum of 3384?

Here we will use algebra to find three consecutive integers whose sum is 3384. 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 3384. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 3384

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 = 3384
3X + 3 = 3384

3X + 3 - 3 = 3384 - 3
3X = 3381

3X/3 = 3381/3
X = 1127

Which means that the first number is 1127, the second number is 1127 + 1 and the third number is 1127 + 2. Therefore, three consecutive integers that add up to 3384 are 1127, 1128, and 1129.

1127 + 1128 + 1129 = 3384

We know our answer is correct because 1127 + 1128 + 1129 equals 3384 as displayed above.

Three Consecutive Integers
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What three consecutive integers have a sum of 3385?
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