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Topic: To Boggle the Mind.... (Read 665 times) |
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pete from Hull
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Non Scorpio at the moment, but still interested...
 
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To Boggle the Mind....
« on: Apr 17th, 2009, 8:59am » |
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This is a canny little puzzle for you to muse over....
http://www.milaadesign.com/wizardy.html
Anyone know how it works?
 Pete
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Tenfut
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Re: To Boggle the Mind....
« Reply #1 on: Apr 17th, 2009, 10:18am » |
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I've sussed it, very clever but then again really simple.
Tenfut
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pete from Hull
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Non Scorpio at the moment, but still interested...
Posts: 1365
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Re: To Boggle the Mind....
« Reply #2 on: Apr 17th, 2009, 10:31am » |
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on Apr 17th, 2009, 10:18am, Tenfut wrote:I've sussed it, very clever but then again really simple.
Tenfut |
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Explain it then.... 
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Tenfut
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Re: To Boggle the Mind....
« Reply #3 on: Apr 17th, 2009, 10:55am » |
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Whatever numbers you choose you will always end up with a multiple of 9.
On each line all the symbols with a multiple of 9 are the same.
9 18 27 36 etc etc
Every time you re-enter the game the symbol changes but all the "nines" will be the same
Try it
Tenfut
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pete from Hull
Senior Member
Non Scorpio at the moment, but still interested...
Posts: 1365
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Re: To Boggle the Mind....
« Reply #4 on: Apr 17th, 2009, 11:14am » |
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on Apr 17th, 2009, 10:55am, Tenfut wrote:Whatever numbers you choose you will always end up with a multiple of 9.
On each line all the symbols with a multiple of 9 are the same.
9 18 27 36 etc etc
Every time you re-enter the game the symbol changes but all the "nines" will be the same
Try it
Tenfut |
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Well done, this is how it was explained on the other site, it's quite interesting... but confusing for an old head like me.
(quoted)
think about a two-digit number [ab]=10*a+b (thus the two digits are a and b), then [ab]-(a+b)=(10a+b)-(a+b)=9a. Therefore your choice only depends on the first digit a.
they put the symbol at every 9 places, so for every a from 1 to 9, there is a symbol at 9a.
You will notice that the same symbol is at 9, 18, 27, 36, 45, 54, 63, 72, and 81 (the possibilities for [ab]-(a+b))
Pete
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