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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): Interesting! | Comment 8 of 15 |
(In reply to re: Interesting! by Charlie)


That's cool...

Here are the sequences from before (in your last post), used as an example.

2631, 5085, 7992, 7173, 6354, 3087, 8352 6174

0343, 3996, 6264, 4176, 6174.

1112, 0999, 8991, 8082, 8532, 6174.



2631, 5085, 7992,

Now the middle two numbers add up to 8, and the outsides add up to 10.
7173, 6354, 3087, 8352 6174

It works with other sequences too.

0343, 3996,

Now the middle numbers (2,6 1,7 1,7) add up to 8, and the outside numbers (6,4 4,6 6,4) add up to 10
6264, 4176, 6174.


1112, 0999, 8991,

Here is where it begins again.
8082, 8532, 6174.

  Posted by Gamer on 2003-04-28 01:37:10

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