Exactly...
Example 9876 and 6789 gives you 3087, if you circle the 0 his answer
will be 9, in this case 3+7+8 = 18, 1+8 = 9, so in theory the logic will
result in either a 0 or 9 to make the 4 digit number again divisible by
9 to eliminate that you can't pick 0.
Please that's enough brain ache on a Friday before the weekend :)
-----Original Message-----
From: Bob Comeau [mailto:[log in to unmask]]
Sent: 21 January 2005 14:49
To: Skeet, Nigel; [log in to unmask]
Subject: RE: Re: [HP3000-L] Fun with numbers
Ah ha!
So if the number left is divisible by 9 he can tell you that you circled
a 9 because he told you not to circle a zero.
Very sneeaky!
Bob Comeau
Sr. Systems Programmer Analyst
Crossley Carpet Mills Ltd.
(902)895-5491 ex 139
-----Original Message-----
From: Skeet, Nigel [mailto:[log in to unmask]]
Sent: January 21, 2005 9:28 AM
To: [log in to unmask]; [log in to unmask]
Subject: RE: Re: [HP3000-L] Fun with numbers
The reason for the not to circle "0", is a number could have 0 or 9 in
the answer which would give a 50 / 50 prediction.
For example 2880 is divisible by 9 as is 2889.
-----Original Message-----
From: HP-3000 Systems Discussion [mailto:[log in to unmask]] On
Behalf Of Bob Comeau
Sent: 21 January 2005 14:03
To: [log in to unmask]
Subject: Re: [HP3000-L] Fun with numbers
It has to do with the fact that the difference between numbers which
have been transposed is always divisible by nine. Jumbling up the
digits and finding the difference will give you such a number.
A number which is divisible by nine has digits which add up to a number
divisible by nine.
By removing one of those digits you can easily determine what it was by
determining what you need to make the total of the digits add up to
nine.
Not sure why he says to not circle a zero, you would think that would be
just as easy to determine, may be it's just a red herring.
Bob Comeau
Sr. Systems Programmer Analyst
Crossley Carpet Mills Ltd.
(902)895-5491 ex 139
-----Original Message-----
From: HP-3000 Systems Discussion [mailto:[log in to unmask]]On
Behalf Of John Dunlop
Sent: January 21, 2005 5:08 AM
To: [log in to unmask]
Subject: OT: Fun with numbers
To all you smart mathematicians out there, can anyone explain to me (in
simple terms) how this works?
See : http://digicc.com/fido/
I can't figure it out, especially as you can jumble up the numbers and
it still works.
Doh!
Cheers,
John Dunlop
E-mail : [log in to unmask]
Web : http://www.jdunlop.net
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