SOLUTION: The sum of three consecutive odd integers is 16 more than the greatest of the integers. Find the integers.

Question 216936: The sum of three consecutive odd integers is 16 more than the greatest of the integers. Find the integers.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Let the first odd integer be (2n+1) where n is any integer, the (2n+3) is the next consecutive odd integer and (2n+5) is the third consecutive odd integer.
The sum of these is 16 more than the third (largest) of the integers.
Simplify.
Subtract 2n from both sides.
Subtract 9 from both sides.
Divide both sides by 4.
so...

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