How does this website read your mind.

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SUMMARY

The discussion revolves around the mathematical trick employed by the website http://www.regiftable.com/regiftingrobinpopup.html, which creates the illusion of mind-reading. Participants explain that any two-digit number can be expressed as 10a + b, leading to a consistent result of 9a, which is always a multiple of 9. Consequently, the gifts displayed are always the same for multiples of 9, such as 9, 18, and 27. This clever use of algebra demonstrates how simple mathematical principles can create engaging illusions.

PREREQUISITES
  • Understanding of basic algebra, specifically two-digit number representation
  • Familiarity with multiples and their properties
  • Knowledge of mathematical tricks and illusions
  • Basic comprehension of algorithms and their applications
NEXT STEPS
  • Explore the concept of modular arithmetic and its applications
  • Learn about mathematical illusions and tricks in recreational mathematics
  • Investigate the algorithm behind the mind-reading trick on http://www.cs.williams.edu/~bailey/applets/MindReader/index.html
  • Study the properties of numbers, particularly focusing on multiples of 9
USEFUL FOR

Mathematicians, educators, students, and anyone interested in mathematical tricks and illusions will benefit from reading this discussion.

jacksnap
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Hi ,
A friend sent me this website, and I was wondering how it worked,

http://www.regiftable.com/regiftingrobinpopup.html

obviously it can't read my mind, and its some kind of mathematical trick, I can initially see that all the answers i come up with are 18 apart and that gift is always the same, but why.

Jason
 
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Hah,it's a liittle tricky.
Any 2-digital number can be expressed as 10a+b,so what you do in fact is 10a+b-a-b=9a, always a multiple of 9, and you notice that the gifts labled by 9,18,27...are always the same!
 
haha I liked this :biggrin:

Seriously, its not even like those "think of any number, at 20, multiply by 50, subtract 100... etc." sort of doo-wackies. It's so simple it asks for just one thing from you and gets it right every time. I was so stumped as how it was done, lol post #2 spoilt the fun :-p
 
Thanks kof9595995 that explains it perfectly, isn't algebra wonderful.

I've just never seen it applied like that before.

fleem, that's an interesting site too, very clever.
 
teheh, all the multiples of 9 are the same gifts
 

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