SOLUTION: The number 35805 is the product of three consecutive odd integers. Find the average of there three integers.

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Question 320906: The number 35805 is the product of three consecutive odd integers. Find the average of there three integers.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The three consecutive odd integers are N,N%2B2, and N%2B4.
Take the cube root of 35805 to get near the middle integer.
root%283%2C35805%29=32.959
N%2B2=33
Find the average,
A=%28N%2BN%2B2%2BN%2B4%29%2F3
A=%283N%2B6%29%2F3
A=N%2B2
A=33
The average of the three numbers is 33.