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 Ceremonial Stones (Posted on 2006-11-14)
A certain tribe had an interesting kind of annual festival, in which every male member of the tribe (regardless of age) had to contribute a levy of grain into the tribal store. Their unit of weight was roughly the same as our pound avoirdupois, and each tribesman had to contribute one pound of grain for every year of his age.

The contributions were weighed on the tribe's ceremonial scales, using a set of seven ceremonial stones. Each of these weighed an integral number of pounds, and it was an essential part of the ritual that not more than three of them should be used for each weighing, though they need not all be in the same pan.

If ever a tribesman lived to such an age that his contribution could no longer be weighed by using three or fewer stones, the levy of grain would terminate forever. And in the previous year, one old man had died only a few months short of attaining this critical age, greatly to the relief of the headman of the tribe.

It has been determined that the stones can measure the maximum age. What is this age and what were the weights of the seven ceremonial stones?

 See The Solution Submitted by Bractals Rating: 3.0000 (7 votes)

 Subject Author Date re(3): A computer exploration -- solution??? thu trang 2019-01-03 03:17:19 re(2): Rebuttal FrankM 2008-02-09 01:17:17 re: Rebuttal Bractals 2008-02-08 14:09:11 Rebuttal FrankM 2008-02-08 10:06:37 re: That's peculiar Bractals 2008-02-03 12:45:22 That's peculiar FrankM 2008-02-03 11:55:53 Generalisation FrankM 2008-02-03 11:46:36 Disagree with "Disagree With Solution - Max Age Very Large" jaime 2007-01-30 17:39:54 re: Keeping the Tradition Gamer 2007-01-10 15:07:00 Disagree With Solution - Max Age Very Large Kevin 2007-01-10 14:10:08 re(2): Max age - A computer exploration Bernie Hunt 2006-11-20 09:36:21 re: Max age - A computer exploration Dej Mar 2006-11-20 02:24:30 Max age: 115 Bernie Hunt 2006-11-15 10:20:16 re(2): A computer exploration -- solution??? Charlie 2006-11-15 08:56:13 re: A computer exploration -- solution??? Bractals 2006-11-15 03:15:02 re(3): upper limit Bractals 2006-11-15 03:07:33 re: A computer exploration -- solution??? -- how to get the numbers Charlie 2006-11-14 23:50:02 A computer exploration -- solution??? Charlie 2006-11-14 23:42:00 re(2): upper limit Charlie 2006-11-14 23:33:40 re: upper limit Bractals 2006-11-14 22:13:33 re(2): At least 109 years Bernie Hunt 2006-11-14 18:17:58 re: At least 109 years Bractals 2006-11-14 18:07:48 At least 109 years Bernie Hunt 2006-11-14 17:06:03 An improved guess... tomarken 2006-11-14 15:04:42 A guess, can probably be improved.... tomarken 2006-11-14 13:55:29 upper limit Charlie 2006-11-14 13:45:30

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