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 Pumpkins 3 (Posted on 2014-01-22)
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)

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 re(2): Another Analytic Solution Comment 6 of 6 |
(In reply to re: Another Analytic Solution by Steve Herman)

This is what happens when I try to solve problems right before bedtime :)  I'll edit my comment to present a correct solution.
 Posted by Brian Smith on 2016-01-26 11:11:29

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