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Reverse and Differ (Posted on 2005-02-01) Difficulty: 2 of 5
Start with any 3-digit number which is not a palindrome.
Reverse the digits and find the positive difference between the two numbers.
Using this result, continue this process until the difference is a number with fewer than three digits.

1) What are the only possible results? Prove it. 2) What is the greatest number of steps any number could take to terminate (and which numbers are these?)

See The Solution Submitted by Jer    
Rating: 2.0000 (2 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Solutionre(3): SolutionAdy TZIDON2013-03-29 19:26:23
re(2): SolutionCharlie2013-03-29 11:42:21
Some Thoughtsre: SolutionAdy TZIDON2013-03-29 08:52:01
Some thoughtsSing4TheDay2005-02-02 15:21:53
SolutionSolutione.g.2005-02-01 18:28:11
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