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

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) (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.

RELATED QUESTIONS
The sum of the three smallest of four consecutive odd integers is 30 more than the... (answered by math-vortex)

The sum of the three smallest of four consecutive odd integers is 30 more than the... (answered by macston,fractalier)

the sum of three smallest of four consecutive odd integers is 30 greater than the largest (answered by ankor@dixie-net.com)

The sum of three consecutive odd integers is 5 less than twice the smallest integer.... (answered by elima)

There are three consecutive odd integers. The sum of quadruple the largest and twice the... (answered by MathLover1)

The sum of three consective odd integers is -3, what is the largest odd integer? The... (answered by MathLover1)

Find three consecutive odd integers such that the sum of the smallest and largest is... (answered by swincher4391)

What is the sum of three consecutive odd integers if the smallest integer is q? (answered by checkley79)

The sum of four consecutive odd integers is 296. What is the product of the smallest and... (answered by JulietG)