What three consecutive integers have a sum of 3774?

Here we will use algebra to find three consecutive integers whose sum is 3774. 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 3774. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 3774

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 = 3774
3X + 3 = 3774

3X + 3 - 3 = 3774 - 3
3X = 3771

3X/3 = 3771/3
X = 1257

Which means that the first number is 1257, the second number is 1257 + 1 and the third number is 1257 + 2. Therefore, three consecutive integers that add up to 3774 are 1257, 1258, and 1259.

1257 + 1258 + 1259 = 3774

We know our answer is correct because 1257 + 1258 + 1259 equals 3774 as displayed above.

Three Consecutive Integers
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What three consecutive integers have a sum of 3775?
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