What three consecutive integers have a sum of 4986?

Here we will use algebra to find three consecutive integers whose sum is 4986. 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 4986. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 4986

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 = 4986
3X + 3 = 4986

3X + 3 - 3 = 4986 - 3
3X = 4983

3X/3 = 4983/3
X = 1661

Which means that the first number is 1661, the second number is 1661 + 1 and the third number is 1661 + 2. Therefore, three consecutive integers that add up to 4986 are 1661, 1662, and 1663.

1661 + 1662 + 1663 = 4986

We know our answer is correct because 1661 + 1662 + 1663 equals 4986 as displayed above.

Three Consecutive Integers
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What three consecutive integers have a sum of 4987?
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