SOLUTION: lf x, y, z are consecutive odd integers and their sum is 27 . What is their product xyz? A 720 b 693 c 990 d 1287 e 1485

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: lf x, y, z are consecutive odd integers and their sum is 27 . What is their product xyz? A 720 b 693 c 990 d 1287 e 1485       Log On


   

Question 271163: lf x, y, z are consecutive odd integers and their sum is 27 . What is their product xyz?
A 720 b 693 c 990 d 1287 e 1485
Answer by dabanfield(803) About Me  (Show Source):
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lf x, y, z are consecutive odd integers and their sum is 27 . What is their product xyz?
A 720 b 693 c 990 d 1287 e 1485
Since the integers are consecutive and odd we know y = x+2 and z = x+4 so we have:
x + (x+2) + (x+4) = 27
3x + 6 = 27
3x = 21
x = 7
y = x+2 = 7+2 = 9
z = x+4 = 7+4 = 11
The product then is 7*9*11 = ?