Difference between revisions of "Mock AIME 1 Pre 2005 Problems/Problem 9"
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== See also == | == See also == | ||
| − | {{Mock AIME box|year=Pre 2005|n=1|num-b= | + | {{Mock AIME box|year=Pre 2005|n=1|num-b=8|num-a=10|source=14769}} |
[[Category:Intermediate Algebra Problems]] | [[Category:Intermediate Algebra Problems]] | ||
Revision as of 19:20, 21 March 2008
Problem
and 
are three non-zero integers such that 
and
![\[\frac{1}{p} + \frac{1}{q} + \frac{1}{r} + \frac{360}{pqr} = 1\]](http://latex.artofproblemsolving.com/6/8/8/68867ee7b08e34c84bd7054c465e0b101d58f786.png)
Compute 
.
Solution
From here, you can factor 
as 
, giving corresponding values of 
and 
. The answer is 
.
See also
| Mock AIME 1 Pre 2005 (Problems, Source) | ||
| Preceded by Problem 8 |
Followed by Problem 10 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
