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#605692 - Wed Mar 16 2011 06:05 AM t. Now This One...
ren33 Online   content
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Registered: Thu Sep 30 1999
Posts: 11305
Loc: Fanling
  Hong Kong      
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#605712 - Wed Mar 16 2011 07:09 AM Re: t. Now This One... [Re: ren33]
postcards2go Offline
Mainstay

Registered: Thu Nov 20 2008
Posts: 797
Loc: New Jersey USA
No matter what number you pick, when you subtract the two digits, you end up with a multiple of nine.

18-1-8 = 9
12-1-2 = 9
54-5-4 = 45
99-9-9 = 81

It won't matter which two digit number you chose.
You will find that *all* the gifts that are the same as your gift are multiples of 9.
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#605904 - Wed Mar 16 2011 08:39 PM Re: t. Now This One... [Re: postcards2go]
ren33 Online   content
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Registered: Thu Sep 30 1999
Posts: 11305
Loc: Fanling
  Hong Kong      
Ahhhhhhhhhhhhhh!! I see. Thanks!
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#606225 - Thu Mar 17 2011 07:29 PM Re: t. Now This One... [Re: ren33]
Juggernaut314 Offline
Explorer

Registered: Tue Mar 03 2009
Posts: 54
Loc: Madison Wisconsin USA        
This is actually a convenient side effect of base ten. This works with a number of any length, not just 2 digits.

Similarly, if you take any x digit number then rearrange that number in any fashion, their difference is a multiple of 9. I.e. 54321 - 31254 is divisible by 9.

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