2003 AIME I Problems/Problem 1
Problem
Given that
where and are positive integers and is as large as possible, find
Solution
Note thatBecause , we can conclude that . Thus, the maximum value of is . The requested value of is therefore .
~yofro
See also
2003 AIME I (Problems • Answer Key • Resources) | ||
Preceded by First Question |
Followed by Problem 2 | |
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