

10182007, 01:09 PM

#11

Chef Extraordinaire
Join Date: Nov 2004
Location: Washington
Posts: 20,332

wow..... ok... how does it work?
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10182007, 05:15 PM

#12

Executive Chef
Join Date: Aug 2006
Location: Basingstoke, England
Posts: 4,687

My dear wife has worked it out. The numbers in your final number always add up to 9 (or multiple) so the digits you give the puzzle are subtracted from 9, the remainder is the number you circled.
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10182007, 06:11 PM

#13

DC's Angel
Join Date: Sep 2006
Location: Bardwell. Kentucky USA
Posts: 1,500

I have a better explanation.
It's the work of the devil and we're all doomed.
Abandon all hope.
Sob
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10182007, 06:13 PM

#14

Head Chef
Join Date: Jun 2007
Location: Down South in Alabama
Posts: 2,285

Heh, I figured it out.
Spoiler Alert!
Don't read any further unless you want to know how it is done!
This is a trick based on a magician's technique called a “Force” and that’s when the magician causes ("forces") you to select a specific item or group of items, yet you think you had total free will.
The trick tells you to pick a 3 or 4 digit number. Then it has you mix up those digits for another number. Then you subtract the two, and the you then pick a number from the result of that subtraction. That’s the “force”. You think you are picking a random number, but it’s not. There is a finite set of numbers that will happen because of this limited subtraction scheme.
Let’s look at a 3 digit combo of the numbers 1, 2, & 3. The largest number you can make is 321, and the smallest is 123. The total unique numbers that you can make are 6 which are:
The three hundreds = 321, 312
The two hundreds = 231, 213
The one hundreds = 132, 123
Total unique subtractions with all number combinations are 15. This means there are only 15 new numbers that you can eventually choose (circle) your number from that he must “guess”. And of those 15, two combinations are not allowed because the result is a single 9. Further, you aren’t allowed to choose a 0 which would have stumped this trick, but by disallowing the zero, it’s easy to make a lookup table to cross reference the remaining digits you type in to the limited numbers that can actually be made.
Here are all the possible subtractions that can happen starting with the largest number of 321 and working down:
321
312 = 9 <not allowed, single digit!
213 = 108 <can’t choose a Zero
231 = 90 <can’t choose a Zero
132 = 189
123 = 198
312
213 = 99
231 = 81
123 = 189
132 = 180 <can’t choose a Zero
231
213 = 18
123 = 108 <can’t choose a Zero
132 = 99
213
123 = 90 <can’t choose a Zero
132 = 81
132
123 = 9 <Not allowed, single digit!
So, if you did 312 – 123 = 198 and you circle the 9, you have to type in 1 & 8. By typing in 1 & 8, that means you had a three digit remainder. Look at that list, of all the 3 digit remainders with a 1 & 8 in them (remember 0 is not allowed), the only number left for you to have chosen is a 9.
Or, say you chose 312 – 132 = 180. You can’t choose the 0, so you choose 1. Now you have to type in 8 & 0. Of all the 3 digit numbers with 8 & 0, the third number is always....you guessed it........1.
The interesting thing is, those results are the same no matter what 3 digits you picked! That’s because you are working with the same 3 digits for the subtraction, thus the magnitude of difference between the two numbers is always the same, no matter what three you pick. 987 – 789 = 198 which is the same as 321 123 = 198! The magnitude of the difference is always the same, no matter the 3 digits you pick to start with, so the resulting remainder is always the same.
The same thing applies to a 4 digit number, with the only difference being there are more remainders, but it is still a finite list of numbers!
Mystery solved!
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10182007, 06:19 PM

#15

Certified Pretend Chef
Join Date: Sep 2004
Location: Massachusetts
Posts: 43,088

Cool. Thanks for the explanation.
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"If you want to make an apple pie from scratch, you must first create the universe." Carl Sagan



10182007, 06:21 PM

#16

Certified Pretend Chef
Join Date: Sep 2004
Location: Massachusetts
Posts: 43,088

Try this trick.
The answer to "How did they do that?" is much easier here and you don;t have to know any math to figure it out!
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"If you want to make an apple pie from scratch, you must first create the universe." Carl Sagan



10182007, 06:25 PM

#17

Head Chef
Join Date: Jun 2007
Location: Down South in Alabama
Posts: 2,285

Quote:
Originally Posted by Andy M.
Try this trick.
The answer to "How did they do that?" is much easier here and you don;t have to know any math to figure it out!

I know how they do that one!
But I'll let the others play with it.
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10182007, 07:01 PM

#18

Master Chef
Join Date: Aug 2006
Location: Monroe, Michigan
Posts: 5,912

Wow thats pretty cool  and so right on !
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10182007, 09:36 PM

#19

Traveling Welcome Wagon
Join Date: Apr 2004
Location: Somewhere, US
Posts: 15,716

Quote:
Originally Posted by Andy M.
Try this trick.
The answer to "How did they do that?" is much easier here and you don;t have to know any math to figure it out!

I'm amazed at how many of the people on my "send jokes, inspirational stuff, and useless junk" list (lol) fall for this one!
Barbara
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10182007, 10:42 PM

#20

Head Chef
Join Date: Oct 2004
Location: Boston area
Posts: 2,488

What about what miniman's wife's answer? Is that right?
Lee
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