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2002 AIME I Problems/Problem 3

Revision as of 16:26, 25 September 2007 by 1=2 (talk | contribs) (→‎Problem)

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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