What three consecutive integers have a sum of 2961?

Here we will use algebra to find three consecutive integers whose sum is 2961. 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 2961. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 2961

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 = 2961
3X + 3 = 2961

3X + 3 - 3 = 2961 - 3
3X = 2958

3X/3 = 2958/3
X = 986

Which means that the first number is 986, the second number is 986 + 1 and the third number is 986 + 2. Therefore, three consecutive integers that add up to 2961 are 986, 987, and 988.

986 + 987 + 988 = 2961

We know our answer is correct because 986 + 987 + 988 equals 2961 as displayed above.

Three Consecutive Integers
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What three consecutive integers have a sum of 2962?
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