wu :: forums « wu :: forums - How to solve 3 Daughters problem? » Welcome, Guest. Please Login or Register. Nov 28th, 2024, 12:34pm

RIDDLES SITE WRITE MATH! Home Help Search Members Login Register

wu :: forums    riddles    hard (Moderators: towr, Eigenray, SMQ, william wu, Icarus, ThudnBlunder, Grimbal)    How to solve 3 Daughters problem? « Previous topic | Next topic » Pages: 1  Reply Notify of replies Send Topic Print    Author  Topic: How to solve 3 Daughters problem?  (Read 2463 times) mebden Newbie     Posts: 6 How to solve 3 Daughters problem?   « on: Jul 27th, 2002, 11:29am » Quote Modify How do you solve the 3 daughters problem?  I figure if the product of their ages is 72, there are 3 possible answers:     1 8 9   3 3 8   2 4 9   Eliminate the last one because it sums to 13, not a valid house number.  But how does the information about the piano playing help narrow it down between the next two?   Thanks IP Logged Neil Sedaka Guest Re: How to solve 3 Daughters problem?   « Reply #1 on: Jul 30th, 2002, 7:23am » Quote Modify Remove Try these (age 18 and above excluded) :   1 6 12 19 1 8 9 18 2 3 12 17 2 4 9 15 2 6 6 14 3 3 8 14 3 4 6 13 4 3 6 13   The fourth column is the sum of the ages.   As knowing that the sum was the same as the house number didn't help, we can assume that is because the house was 14, and there are 2 possible sets of ages with that product.   So 13 being invalid as a house number is both debateable and irrelavent (note that there are also two sets, but they are duplicates).   2,6,6 would only work, using the word 'oldest' from the final clue if we cared about twins' ages, which people usually don't.   3,3,8 does include twins, but oldest isn't misleading, because she is the only one of that age. IP Logged mebden Newbie     Posts: 6 Re: How to solve 3 Daughters problem?   « Reply #2 on: Jul 30th, 2002, 7:29am » Quote Modify Thank you!   --Mark IP Logged Scott Kurth Guest Re: How to solve 3 Daughters problem?   « Reply #3 on: Aug 3rd, 2002, 7:35am » Quote Modify Remove While I realize that Neil's solution meets the "intent" of the problem, this problem is actually still ambiguous (without getting into the notion of an "older" twin).   Consider the case where you have three daughters with the following birthdays:   Brittany:  01 January 1995   Tiffany:   01 November 1995   Sally: 01 April 1999   If the two gentlemen met last December, the daughters' ages would be   2  6  6 and 'Brittany' would be busily tickling the ivories.... IP Logged mebden Newbie     Posts: 6 Re: How to solve 3 Daughters problem?   « Reply #4 on: Aug 6th, 2002, 3:50am » Quote Modify Excellent point - this is an insoluble puzzle, thanks to the 2 6 6 possibility!     IP Logged srn437 Newbie the dark lord rises again....     Posts: 1 Re: How to solve 3 Daughters problem?   « Reply #5 on: Aug 28th, 2007, 9:41pm » Quote Modify on Jul 27th, 2002, 11:29am, mebden wrote: How do you solve the 3 daughters problem?  I figure if the product of their ages is 72, there are 3 possible answers:     1 8 9   3 3 8   2 4 9   Eliminate the last one because it sums to 13, not a valid house number.  But how does the information about the piano playing help narrow it down between the next two?   Thanks That sums to 15. Maybe if the oldest just learned how to play the piano, there is only one oldest. IP Logged Pages: 1  Reply Notify of replies Send Topic Print Forum Jump: ----------------------------- riddles -----------------------------  - easy   - medium => hard   - what am i   - what happened   - microsoft   - cs   - putnam exam (pure math)   - suggestions, help, and FAQ   - general problem-solving / chatting / whatever ----------------------------- general -----------------------------  - guestbook   - truth   - complex analysis   - wanted   - psychology   - chinese « Previous topic | Next topic »

Powered by YaBB 1 Gold - SP 1.4!
Forum software copyright © 2000-2004 Yet another Bulletin Board