Art of Problem Solving

2003 AIME II Problems/Problem 10: Difference between revisions

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== Problem ==
== Problem ==
Two positive integers differ by <math>60.</math> The sum of their square roots is the square root of an integer that is not a perfect square. What is the maximum possible sum of the two integers?


== Solution ==
== Solution ==
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== See also ==
== See also ==
* [[2003 AIME II Problems/Problem 9| Previous problem]]
{{AIME box|year=2003|n=II|num-b=9|num-a=11}}
 
* [[2003 AIME II Problems/Problem 11| Next problem]]
 
* [[2003 AIME II Problems]]

Revision as of 13:40, 21 November 2007

Problem

Two positive integers differ by $60.$ The sum of their square roots is the square root of an integer that is not a perfect square. What is the maximum possible sum of the two integers?

Solution

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See also

2003 AIME II (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