Difference between revisions of "2002 AIME I Problems/Problem 3"

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== See also ==
 
== See also ==
* [[2002 AIME I Problems/Problem 2| Previous problem]]
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{{AIME box|year=2002|n=I|num-b=2|num-a=4}}
 
 
* [[2002 AIME I Problems/Problem 4| Next problem]]
 
 
 
* [[2002 AIME I Problems]]
 

Revision as of 00:35, 20 November 2007

Problem

Jane is 25 years old. Dick is older than Jane. In $n$ years, where $n$ is a positive integer, Dick's age and Jane's age will both be two-digit number and will have the property that Jane's age is obtained by interchanging the digits of Dick's age. Let $d$ be Dick's present age. How many ordered pairs of positive integers $(d,n)$ are possible?

Solution

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See also

2002 AIME I (ProblemsAnswer KeyResources)
Preceded by
Problem 2
Followed by
Problem 4
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All AIME Problems and Solutions