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From: marty1@houdi.UUCP (M.BRILLIANT)
Newsgroups: comp.ai
Subject: Re: Beyond Mr.P & Mr.S.
Message-ID: <1295@houdi.UUCP>
Date: Mon, 31-Aug-87 18:19:32 EDT
Article-I.D.: houdi.1295
Posted: Mon Aug 31 18:19:32 1987
Date-Received: Fri, 4-Sep-87 07:31:13 EDT
References: <668@xn.LL.MIT.EDU> <1064@homxc.UUCP> <1065@homxc.UUCP>
Organization: AT&T Bell Laboratories, Holmdel
Lines: 32
Summary: The key is that there might be a solution with eldest twins

In article <1065@homxc.UUCP>, lewisd@homxc.UUCP (D.LEWIS) writes:
> In article <1064@homxc.UUCP>, lewisd@homxc.UUCP (D.LEWIS) writes:
> > In article <668@xn.LL.MIT.EDU>, vanhove@XN.LL.MIT.EDU (Patrick Van Hove) writes:
> > > 	the product of the ages of my three daughters is exactly 
> > > 	the number on our house. If I add that the sum of their ages
> > > 	is 13, can you figure out how old they are?
> > > .....
> > > 	Your oldest daughter? Well then, I think I know the answer now:
> > > 	their ages are >CENSORED<, >CENSORED< and >CENSORED<.

After a false start...

> .....  It is true that the key is in realizing
> that the salesman can come up with two or more answers ...
> ..... but that when he is told that the oldest
> daughter is not a twin the answer is unique.
> 
> It turns out that there are only 14 possibilities.....

There are only TWO possible answers with twin eldest daughters:
(1,6,6) with a product of 36, and (3,5,5) with a product of 75.
The house number must be 36 because no other answer is possible
for 75.  If the product is 36 and the largest factor is unique,
the only possible answer is (2,2,9), which is the answer first given
by lewisd@homxc.UUCP (D.LEWIS) for the wrong reason.

I don't know what this has to do with AI.  It's a test of real
intelligence.  Who else solved it without a scrathpad?

M. B. Brilliant					Marty
AT&T-BL HO 3D-520	(201)-949-1858
Holmdel, NJ 07733	ihnp4!houdi!marty1