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Pumpkins 3 (Posted on 2014-01-22) Difficulty: 3 of 5
This is in continuation of Pumpkins and Pumpkins 2.

Six pumpkins - each having a different weight - are weighed two at a time in all 15 sets of two. The weights are recorded as: 27, 36, 39, 45, 48, 51, 54, 57, 63, 66, 72, 75 and 81 pounds.
  • Precisely two of the values occurred exactly twice, but these values were only written down once.
  • Each of the individual weights (in pounds) is a positive integer.
Derive the weights of the pumpkins and which two values occur twice.

No Solution Yet Submitted by K Sengupta    
Rating: 4.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re(2): Another Analytic SolutionBrian Smith2016-01-26 11:11:29
re: Another Analytic SolutionSteve Herman2016-01-26 11:03:11
SolutionAnother Analytic SolutionBrian Smith2016-01-26 00:21:27
re: computer solution - a bug somewhereBrian Smith2016-01-26 00:05:00
SolutionAnalytical Solution (spoiler)Steve Herman2014-01-23 00:17:34
Solutioncomputer solutionCharlie2014-01-22 11:38:11
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