If the sum of three consecutive integers is 84, what are the integers?

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If the sum of three consecutive integers is 84, what are the integers?

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Answer 1 · 2016-03-02T04:46:44

$27,28,29$

Explanation:

Call the first integer $n$ . Then, the next two consecutive integers must be $n+1$ and $n+2$ . Since all three integers' sum is $84$ , we can say that

$n+(n+1)+(n+2)=84$

Grouping like terms:

$3n+3=84$

$3n=81$

$n=27$

Thus the other two integers are $28$ and $29$ .

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If the sum of three consecutive integers is 84, what are the integers?

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