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PostPosted: Thu Jan 10, 2008 5:59 pm 
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Another sneaky one: Two brothers Bob and Bill. Bob claims to have twice as many girl friends as Bill. Bill says that they have the same number of girl friends. Could they both be right? [Answer on next posting.]

They don't have any girlfriends at all.


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PostPosted: Thu Jan 10, 2008 6:03 pm 
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Adam wrote:
They don't have any girlfriends at all.

Good thinking :D
The correct solution is usually the simplest one.

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PostPosted: Thu Jan 10, 2008 7:04 pm 
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No, that doesn't work. There is a much more straightfotward solution! It dorsn't have to be girl friends. Look, it could just as well be the following: Bob claims to have twice as much money as Bill, and Bill says that they both have the same amount of money, yet both of them are right. How can that be?

Raymond


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PostPosted: Thu Jan 10, 2008 7:48 pm 
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*wiping drool off chin* My brain hurts. :roll:

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PostPosted: Thu Jan 10, 2008 7:50 pm 
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rsmullyan wrote:
No, that doesn't work. There is a much more straightfotward solution! It dorsn't have to be girl friends. Look, it could just as well be the following: Bob claims to have twice as much money as Bill, and Bill says that they both have the same amount of money, yet both of them are right. How can that be?

Raymond

Bob has Euros and Bill has dollars ? :wink:

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PostPosted: Thu Jan 10, 2008 7:57 pm 
techneut wrote:
rsmullyan wrote:
No, that doesn't work. There is a much more straightfotward solution! It dorsn't have to be girl friends. Look, it could just as well be the following: Bob claims to have twice as much money as Bill, and Bill says that they both have the same amount of money, yet both of them are right. How can that be?

Raymond

Bob has Euros and Bill has dollars ? :wink:


:lol:


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PostPosted: Thu Jan 10, 2008 8:11 pm 
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I'll give you a hint: From the information given about the girl friends, one can deducr exactly how many girl frieds each one has, and in the variant I gave involving money instead of girl friends, one can deduce exactly how much money each one has!
Raymond


Last edited by rsmullyan on Thu Jan 10, 2008 8:56 pm, edited 1 time in total.

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PostPosted: Thu Jan 10, 2008 8:13 pm 
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Location: Obamanation, unfortunately...
Each have four girlfriends, but one folds his girlfriends in half, thus doubling the amount :(

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PostPosted: Thu Jan 10, 2008 8:37 pm 
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Ah cute. Bob has two (twice as many as Bill which counts for one here). Bill has none, and together they have two. That is sneaky indeed, the keyword we tend to overlook is "they".

I liked Adam's answer better as that is mathematic and does not depend on word semantics. And mine, because it is kinda funny (at least I thought that when posting :lol: )

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PostPosted: Thu Jan 10, 2008 9:05 pm 
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Joufa, there is no reason why in your solution, the number 4 should work better than any other number-- it could just as well be that each brother has ten, and one of the brothers folds five of them in half! I told you that from the information I gave, it is deducible exactly haw many each has, and there is only ONE possible solution!
Raymond


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PostPosted: Thu Jan 10, 2008 10:07 pm 
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Location: Obamanation, unfortunately...
Hmmm...this is a good question. Then, with my last gasp, I would like to ask: do imaginary girlfriends count?

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PostPosted: Fri Jan 11, 2008 12:05 am 
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Juufa, No; imaginary girl friends do NOT count!Now really; can't you think of a number such that twice the number is the same as the number itself?
Raymond


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PostPosted: Fri Jan 11, 2008 12:41 am 
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1? 1 x 1 = 1...

That seems to work...

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PostPosted: Fri Jan 11, 2008 3:05 am 
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Juufa, No, the number 1 doesn't work. Twice 1 is not the sam as 1X1. Twice 1 is i+i, which is 2. In general, for any number n, twice n is not nXn , but n+n. For example, twice 5 is certainly not 5X5 (which is 25), but 5+5, which is 10.
Raymond


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PostPosted: Fri Jan 11, 2008 4:27 am 
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whoops... read the question wrong... :oops:

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"This is death! This is death as this emanation of the female which leads to unification ... death and love ... this is the abyss." This is not music", said [Sabaneev] to him, "this is something else..." - "This is the Mysterium," he said softly.


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