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

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==Video Solution (XXX)==
 
==Video Solution (XXX)==
 
https://www.youtube.com/watch?v=ZuSJdf1zWYw  ~David
 
https://www.youtube.com/watch?v=ZuSJdf1zWYw  ~David
 
==:)==
 
  
 
==See Also==
 
==See Also==
 
{{AMC8 box|year=2010|num-b=16|num-a=18}}
 
{{AMC8 box|year=2010|num-b=16|num-a=18}}
 
{{MAA Notice}}
 
{{MAA Notice}}

Latest revision as of 22:02, 17 January 2025

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 $y$?

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

Video Solution (XXX)

https://www.youtube.com/watch?v=ZuSJdf1zWYw ~David

See Also

2010 AMC 8 (ProblemsAnswer KeyResources)
Preceded by
Problem 16
Followed by
Problem 18
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
All AJHSME/AMC 8 Problems and Solutions

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