SOLUTION: Find three consecutive odd integers whose sum is -81. Please some me how to get the answer.

Question 551: Find three consecutive odd integers whose sum is -81.
Please some me how to get the answer.
Answer by arden42(16) (Show Source): You can put this solution on YOUR website!
OK, we want 3 numbers, so we'll call them x, y and z.
Now, we know that:

If they are consecutive odd integers, then we also know that:

and

The second-last equation can be substituted into the last one, giving:

Expand the brackets:

Substituting these values for y and z into the original equation gives:

Expand the brackets:

Subtract 6 from both sides:

Divide by 3:

Using the values of y and z from above we get:

and:

So the 3 integers are -25,-27 and -29.
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