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# What is a four-digit number, with four different digits, which is equal to the number formed by its digits in descending order minus the number formed by its digits in ascending order?

Question #112538. Asked by jinnypink. (Jan 31 10 9:02 PM)

Watchkeeper

6174.

Digits in descending order = 7641.
Digits in ascending order = 1467.

7641 - 1467 = 6174.

 Jan 31 10, 10:22 PM
Watchkeeper

Having solved the problem by sheer brain power (plus a little help ;-) from Excel) I Googled 6174 and came up with lots of references. Here's one:

http://plus.maths.org/issue38/features/nishiyama/

 Jan 31 10, 10:29 PM

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