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Four-Digit Number (Posted on 2003-04-26) Difficulty: 4 of 5
Find a four-digit number with four different digits, that is equal to the number formed by its digits in descending order minus the number formed by its digits in ascending order.

See The Solution Submitted by Ravi Raja    
Rating: 3.1667 (6 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(2): divisible by 9 proof :) | Comment 13 of 15 |
(In reply to re: divisible by 9 proof :) by Gamer)

Yes, it's the proof via backwards-thinking. ;)

It' still amazing that the positioning of the previous-to-last digit automatically sets the last digit right according to the rules.
We still have a hard time to find an explanation for this.
  Posted by abc on 2003-09-12 20:38:23

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