
Elementary Math Fractions, Percentages, Word Problems, Equations, Inequations, Factorization, Expansion 
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November 9th, 2009, 11:45 AM  #1 
Member Joined: Oct 2009 Posts: 39 Thanks: 0  11 cards
This is very confusing to me. It really does sound like a magic trick . Please help. A man has 11 cards, On each card, he has written a positive whole number. He then asks you to say any whole number from 1 to 2000. You tell him a number. He then chooses some of the cards he is holding and show them to you. The numbers on the cards he shows you will add up to exactly whatever number you said. This always works, for any number you say from 1 to 2000. What numbers are on the cards? Thank you for your help and time. 
November 9th, 2009, 01:40 PM  #2 
Global Moderator Joined: May 2007 Posts: 6,494 Thanks: 577  Re: 11 cards
1,2,4,8,16,32,64,128,256,512,1024 You can easily see the picture. 
November 9th, 2009, 05:48 PM  #3 
Member Joined: Oct 2009 Posts: 39 Thanks: 0  Re: 11 cards
Thank you mathman for your help. Can I ask what lead you to the solution? I asked that because I spent some times trying to figure some numbers that would work, but to no help. Thanks again. 
November 10th, 2009, 03:44 PM  #4  
Global Moderator Joined: May 2007 Posts: 6,494 Thanks: 577  Re: 11 cards Quote:
 
November 14th, 2009, 10:07 PM  #5 
Global Moderator Joined: Dec 2006 Posts: 18,838 Thanks: 1564 
There's some leeway; the numbers could be 1, 2, 4, 8, 16, 32, 64, 125, 250, 500, 1000.


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