2000 AMC 12 Problems/Problem 12
Problem
Let and be nonnegative integers such that . What is the maximum value of ?
Solution
It is not hard to see that Since , we can rewrite this as So we wish to maximize Which is largest when all the factors are equal. Since , we set Which gives us so the answer is .
See also
2000 AMC 12 (Problems • Answer Key • Resources) | |
Preceded by Problem 11 |
Followed by Problem 13 |
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All AMC 12 Problems and Solutions |
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