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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?

See The Solution Submitted by Brian Smith    
Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Puzzle Thoughts Comment 5 of 5 |
The required original number that the individual started with was 192, since:
 192+291= 483
483+384= 867
867+768=  1635
1635+5361 = 6996, which is a palindrome.

  Posted by K Sengupta on 2023-08-11 11:25:53
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