Question #f0fc4

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Question #f0fc4

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Answer 1 · 2017-09-20T23:22:11

$-75,-73,-71$

Explanation:

Let $x$ be the smallest integer of the three. Since odd integers are two numbers away from the previous one, the other two integers can be represented as $x+2$ and $x+4$ .

Now, if the three integers add up to $-219$ , we can create an equation (the sum of the three soon-to-be-solved integers):

$x+(x+2)+(x+4) = -219$

Then, combine like terms and solve.

$x+x+2+x+4 = -219$
$3x+2+4 = -219$
$3x+6 = -219$
$3x = -225$
$x = -75$

Now we know that the smallest integer of the three odd integers is $-75$ . Now we can add $2$ and $4$ to $-75$ to get our two other integers.

$-75+2 = -73$
$-75+4 = -71$

The three consecutive odd integers that add to $-219$ are $-75,-73,-71$

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