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wu :: forums    riddles    easy (Moderators: towr, Eigenray, SMQ, Grimbal, william wu, Icarus, ThudnBlunder)    Pick 6 to get 21 « Previous topic | Next topic » Pages: 1  Reply Notify of replies Send Topic Print    Author  Topic: Pick 6 to get 21  (Read 360 times) BNC Uberpuzzler     Gender: Posts: 1732 Pick 6 to get 21   « on: Aug 22nd, 2003, 11:20pm » Quote Modify Pick 6 of the digits below to get a sum of exactly 21.   9 9 9 5 5 5   3 3 3   1 1 1     A note about the answer:: I actually know two answers for this: the original "joke" by Martin Gardner, and a second one, that is, hmmm... not a joke « Last Edit: Aug 23rd, 2003, 10:47am by BNC » IP Logged How about supercalifragilisticexpialidociouspuzzler [Towr, 2007] TenaliRaman Uberpuzzler I am no special. I am only passionately curious.     Gender: Posts: 1001 Re: Pick 6 to get 21   « Reply #1 on: Aug 23rd, 2003, 12:17am » Quote Modify is this a trick question?? (for some reasons i feel it is).   ::if its a trick question then this is one solution 11+1+3+3+3=21:: IP Logged Self discovery comes when a man measures himself against an obstacle - Antoine de Saint Exupery tohuvabohu Junior Member     Gender: Posts: 102 Re: Pick 6 to get 21   « Reply #2 on: Aug 23rd, 2003, 6:11am » Quote Modify Obviously there is no straightforward answer, since 6 odd numbers added together will always be even. But the question doesn't actually say what you're supposed to do with the digits. You can "get" 21 by adding a few and multiplying a few. Or you could take one of the 9's and turn it upside down. Or you could get exactly 21 and exactly 1 more. Hey, if we can do whatever we want with the digits, let's take the digits of 21 and turn them around. It's easy to get 12. Does the 21 have to be in base 10? IP Logged Sir Col Uberpuzzler impudens simia et macrologus profundus fabulae     Gender: Posts: 1825 Re: Pick 6 to get 21   « Reply #3 on: Aug 23rd, 2003, 8:25am » Quote Modify I agree. For example, using the top six numbers: 9+9+9–5–5/5=21, using the bottom six numbers: 3(3+3+1)+1–1=21. IP Logged mathschallenge.net / projecteuler.net BNC Uberpuzzler     Gender: Posts: 1732 Re: Pick 6 to get 21   « Reply #4 on: Aug 23rd, 2003, 10:49am » Quote Modify My appologies. It should have been a sum (now it is). And you guys got the correct answers. IP Logged How about supercalifragilisticexpialidociouspuzzler [Towr, 2007] Redingensian Guest Re: Pick 6 to get 21   « Reply #5 on: Oct 26th, 2003, 7:30am » Quote Modify Remove How about turning it upside down - 6+6+6+1+1+1 = 21 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 »

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