Difference between revisions of "1987 AIME Problems/Problem 8"
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== Problem == | == Problem == | ||
− | + | 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 for which there is a unique integer such that ?
Solution
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See also
1987 AIME (Problems • Answer Key • Resources) | ||
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 |