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Re: OT: Unbelievable

From:Henrik Theiling <theiling@...>
Date:Friday, June 6, 2003, 20:03
Hi!

James Worlton <jamesworlton@...> writes:
> doing what the site says will always result in a > multiple of 9. I can't prove it mathematically, but a > few trials showed this to be the case: > 15 -> 1+5 = 6; 15-6=9 > 99 -> 9+9 = 18; 99-18=81 > 47 -> 4+7 = 11; 47-11=36 > I think it is called the rule of 9s or something like > that.
Easy proof, simply calculate: For any number 'xy', i.e. x*10+y, x,y\in{0,..,9}: x*10+y - (x+y) = x*10 - x - y = x*10 - x = x*9. Since x is integer, x*9 is divisible by 9. And you can even predict that the result is x*9, not only divisible by 9. <http://mr-31238.mr.valuehost.co.uk/assets/Flash/psychic.swf> I could not see that because of Flash. I hope I calculated the right thing... :-))) **Henrik

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