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Reverse, Add, Palindrome (Posted on 2009-11-27) Difficulty: 3 of 5
2 digit Palindrome describes a process by which most multi-digit numbers eventually become palindromes. The process being to repeatedly add a given number to the number formed when its digits are reversed.
For example: 152 -> 152+251=403 -> 403+304=707

I applied that process to a certain three digit number four times before I got a palindrome.
After the first and second additions, it was still a three digit number, and neither was a palindrome.
After the third addition it became a four digit number, but still not a palindrome.
And after the fourth addition the result was a four digit palindrome.

What number did I start with, assuming the first digit was smaller than the last?

  Submitted by Brian Smith    
Rating: 5.0000 (1 votes)
Solution: (Hide)
The starting number was 192
  192
+ 291
-----
  483
+ 384
-----
  867
+ 768
-----
 1635
+5361
-----
 6996

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Puzzle ThoughtsK Sengupta2023-08-11 11:25:53
SolutionAnother computerbrianjn2009-11-27 22:17:05
SolutionanswerDej Mar2009-11-27 19:24:10
SolutionBasic solutionCharlie2009-11-27 18:26:08
computer solutionDaniel2009-11-27 16:31:45
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