Difference between revisions of "2009 AMC 8 Problems/Problem 17"

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\textbf{(D)}\    165  \qquad
 
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==See Also==
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{{AMC8 box|year=2009|num-b=16|num-a=18}}

Revision as of 17:50, 5 November 2012

Problem

The positive integers $x$ and $y$ are the two smallest positive integers for which the product of $360$ and $x$ is a square and the product of $360$ and $y$ is a cube. What is the sum of $x$ and $y$?

$\textbf{(A)}\   80    \qquad \textbf{(B)}\    85   \qquad \textbf{(C)}\    115   \qquad \textbf{(D)}\    165   \qquad \textbf{(E)}\    610$

See Also

2009 AMC 8 (ProblemsAnswer KeyResources)
Preceded by
Problem 16
Followed by
Problem 18
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All AJHSME/AMC 8 Problems and Solutions
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