SOLUTION: The product of 3 consecutive positive integers, when divided by their sum, results in a quotient of 33. What is the largest of the three integers?

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: The product of 3 consecutive positive integers, when divided by their sum, results in a quotient of 33. What is the largest of the three integers?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 697862: The product of 3 consecutive positive integers, when divided by their sum, results in a quotient of 33. What is the largest of the three integers?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The product of 3 consecutive positive integers, when divided by their sum, results in a quotient of 33. What is the largest of the three integers?
-------------
Integers are n-1, n & n+1
---
n%28n-1%29%2A%28n%2B1%29%2F%283n%29+=+33
%28n%5E3+-+n%29%2F3n+=+33
%28n%5E2+-+1%29%2F3+=+33
n%5E2+=+100
n = 10
----------
9, 10, 11