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Missing digit (Posted on 2012-11-03) Difficulty: 3 of 5
Alice: Pick a 5-digit number.
Bob: Got it.
Alice: Now reverse it and subtract the lesser from the greater.
Bob: Done.
Alice: Now pick one of the five digits of the result and circle it (but don't choose a zero). Tell me the other digits, in some random order.
Bob: Sure; they are 1, 1, 0, and 8.
Alice: Then the circled digit is....

Alice does indeed correctly give the circled digit. How did she do it?

No Solution Yet Submitted by Danish Ahmed Khan    
Rating: 2.3333 (3 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution re: How it works- a spoiler Comment 3 of 3 |
(In reply to How it works- a spoiler by Ady TZIDON)

In this case, the digits are 1, 1, 0, and 8. Since 1+1+0+8=10, the next multiple of 9 is 18. Therefore, the missing digit is 18-10=8.



  Posted by Math Man on 2012-11-07 11:46:08
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