Difference between revisions of "1997 AIME Problems/Problem 4"

 
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== Problem ==
 
== Problem ==
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Circles of radii 5, 5, 8, and <math>m/n</math> are mutually externally tangent, where <math>m</math> and <math>n</math> are relatively prime positive integers.  Find <math>m + n.</math>
  
 
== Solution ==
 
== Solution ==
 +
{{solution}}
  
 
== See also ==
 
== See also ==
* [[1997 AIME Problems]]
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{{AIME box|year=1997|num-b=3|num-a=5}}

Revision as of 15:30, 20 November 2007

Problem

Circles of radii 5, 5, 8, and $m/n$ are mutually externally tangent, where $m$ and $n$ are relatively prime positive integers. Find $m + n.$

Solution

This problem needs a solution. If you have a solution for it, please help us out by adding it.

See also

1997 AIME (ProblemsAnswer KeyResources)
Preceded by
Problem 3
Followed by
Problem 5
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
All AIME Problems and Solutions