Great Chrystal Ball and How does it work?

[Joesitz (RIP)]

Check this website out.

www.dslextreme.com/users/exstatica/psychic.swf

Pick a double digit number. Add the digits together. Subtract the answer from the original double digit number.Now go to the table and concentrate on the symbol. When you are ready, click on the chrystal ball and see the symbol

Anyone know how this works?

Joe

 

[Mathman]

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Here's how it works. The only numbers that can occur as the final answer are multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72 and 81.

To see this, the two-digit number ab really means 10a + b. (Example: 67 = 10*6 + 7.) The sum of the digits is a + b. So when you subtract you get

(10a + b) - (a + b) = 9a.

(Example: 67 - (6+7) = 54 = 9*6.)

All of these numbers (9, 18, 27, etc.) are marked with the same symbol. Therefore you will always get the same symbol no matter what number you started with.

When you hit "try again," the symbols are rearranged, but still all of the multiples of 9 are marked with the same (new) symbol.

MM

 

[sk8tngcanuck]

All I can say is THANK GOD for MM!!!!! I would have been totally haunted all night trying to figure that out.

I remember a similar puzzle I tried before that had to do with cards, and it really had me puzzled.... couldn't figure out how the computer could POSSIBLY read my thoughts!