SOLUTION: The sum of three consecutive ODD integers is 27. What is the PRODUCT of the largest and smallest integer?

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Question 1165199: The sum of three consecutive ODD integers is 27. What is the PRODUCT of the largest and smallest integer?

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
3 consecutive odd integers can be represented by x + (x + 2) + (x + 4), since the next odd number is always 2 more than the previous odd number.
you get x + (x + 2) + (x + 4) = 27
simplify to get:
3x + 6 = 27
subtract 6 from both sides of the equation to get:
3x = 21
solve for x to get:
x = 7
the 3 consecutive odd integers are 7, 9, 11.
add them up and they total up to 27, as was previously given.
multiply the largest and smallest of those integers to get 77.