Pink-Haired Girl (details15) wrote,
Pink-Haired Girl


Thanks to tiwonge for pointing out the piece of info I was missing and for doing it in a way that I understood.

Before the magician knows that one is lower than all the others, he knows what his debt is. So, we want to look at sets that add to 12 where the lowest number is repeated at least once. Those are as follows, with the products in paranthesis after the set:

1,1,1,9 (9)
1,1,2,8 (16)
1,1,3,7 (21)
1,1,4,6 (24)
1,1,5,5 (25)
2,2,2,6 (48)
2,2,3,5 (60)
2,2,4,4 (64)
3,3,3,3 (81)

Those are the possibilities so far. Then the magician is told that the lion tamer's is the lowest. So, we know that the lowest number does not repeat. What are the possiblities without the lowest number repeating?

1,2,3,6 (36)
1,2,4,5 (40)
1,3,3,5 (45)
1,3,4,4 (48)
2,3,3,4 (72)

Now, you know that before and after the magician knew his debt, which means that there should be one set from each where the products are equal. The only ones that have an equal product are 48 (2,2,2,6 and 1,3,4,4)

So the debts are: Lion tamer owes $3, magician owes $48, and the other three owe $3, $4 and $4. Course if I were the magician I would go with the 1,2,3,6 set just cause it means that he owes less. Brett was wrong; never trust magicians, not clowns.

  • PBH

    Hey leucocrystal! I know you're a Gillian Anderson fan, and a Jon Stewart fan, so I was wondering if you had seen Playing By Heart? It…

  • LIfe Changes

    About three weeks ago I found out I didn't get a job we were nearly certain I was going to get. The principal told me I was the front runner and we…

  • Job update

    I had my first interview today. It was a short phone interview, but the principal had her cook call in sick and had to help serve food for lunch, so…

  • Post a new comment


    default userpic

    Your reply will be screened

    Your IP address will be recorded 

    When you submit the form an invisible reCAPTCHA check will be performed.
    You must follow the Privacy Policy and Google Terms of use.