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October 28th 2003, 04:05 AM
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Simeon
Peasant He/Him Netherlands
Any fool can use a computer. Many do. 
Ok, here's what I've figured out. Any digit you use, and then jumble always has a number that together equals a multiplication of 9 (9, 18, ...). Nine's a special number and is used to create tricks like this - for example, for the Dutch people: our old biljets of 10 guilder also use this technique of nines for the serialnumber each biljet has.

Anyway, examples:

1234 jumble
4321

4321 - 1234 = 3087
3087 = 3 + 0 + 8 + 7 = 18 (= 2*9)

3951 - 1935 = 2016
2016 = 2 + 0 + 1 + 6 = 9 (= 1*9)

You're not allowed to use zero because it can't handle that number when calculating the number you've circled. It can't see the difference between 2016 and 2916 because both are a multiplication of 9. First one is 1*9 and second is 2*9.

That is, leave the zero away and it can't see which multiplication it should use.

So, all it has to do is to calculate the sum of the numbers, see if it's less or more than 9. If less, then the number is 9-[given numbers]. If more, then the number is 18-[given numbers].