Difference between revisions of "2009 AIME I Problems/Problem 11"

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== Solution ==
 
== Solution ==
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== See also ==
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{{AIME box|year=2009|n=I|num-b=9|num-a=11}}

Revision as of 21:29, 20 March 2009

Problem

Consider the set of all triangles $OPQ$ where $O$ is the origin and $P$ and $Q$ are distinct points in the plane with nonnegative integer coordinates $(x,y)$ such that $41x + y = 2009$. Find the number of such distinct triangles whose area is a positive integer.

Solution

See also

2009 AIME I (ProblemsAnswer KeyResources)
Preceded by
Problem 9
Followed by
Problem 11
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
All AIME Problems and Solutions
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