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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