The sum of three consecutive odd integers is −291. What are the three integers?

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Feb 9, 2018

$- 99$, $- 97$ and $- 95$

Explanation:

If the middle integer is $n$, then the other two are $n - 2$ and $n + 2$ and we have:

$- 291 = \left(n - 2\right) + n + \left(n + 2\right) = 3 n$

Divide both ends by $3$ and transpose to get:

$n = - 97$

So the three integers are $- 99$, $- 97$ and $- 95$

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