Difference between revisions of "1987 AIME Problems/Problem 8"

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== Problem ==
 
== Problem ==
 
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What is the largest positive integer <math>\displaystyle n</math> for which there is a unique integer <math>\displaystyle k</math> such that <math>\displaystyle \frac{8}{15} < \frac{n}{n + k} < \frac{7}{13}</math>?
 
== Solution ==
 
== Solution ==
 
+
{{solution}}
 
== See also ==
 
== See also ==
 
* [[1987 AIME Problems]]
 
* [[1987 AIME Problems]]
  
 
{{AIME box|year=1987|num-b=7|num-a=9}}
 
{{AIME box|year=1987|num-b=7|num-a=9}}

Revision as of 23:50, 10 February 2007

Problem

What is the largest positive integer $\displaystyle n$ for which there is a unique integer $\displaystyle k$ such that $\displaystyle \frac{8}{15} < \frac{n}{n + k} < \frac{7}{13}$?

Solution

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See also

1987 AIME (ProblemsAnswer KeyResources)
Preceded by
Problem 7
Followed by
Problem 9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
All AIME Problems and Solutions