2012 AIME II Problems/Problem 1
Problem 1
Find the number of ordered pairs of positive integer solutions to the equation .
Solution
Solving for gives us so in order for to be an integer, we must have The smallest possible value of is obviously and the greatest is so the total number of solutions is
See also
2012 AIME II (Problems • Answer Key • Resources) | ||
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Followed by Problem 2 | |
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