Difference between revisions of "2002 AIME I Problems/Problem 3"
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== Problem == | == Problem == | ||
| + | Jane is 25 years old. Dick is older than Jane. In <math>n</math> years, where <math>n</math> 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 <math>d</math> be Dick's present age. How many ordered pairs of positive integers <math>(d,n)</math> are possible? | ||
== Solution == | == Solution == | ||
Revision as of 16:26, 25 September 2007
Problem
Jane is 25 years old. Dick is older than Jane. In 
years, where 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 
be Dick's present age. How many ordered pairs of positive integers 
are possible?
Solution
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