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Pumpkins 6 (Posted on 2016-01-22) Difficulty: 4 of 5
Much like the third Pumpkins puzzle six pumpkins, each having a different weight, are weighed two at a time in all 15 sets of two. This time exactly four pairs of duplicate values occurred. Those four values are 60, 100, 110, and 120 pounds.

How much did each individual pumpkin weigh?

See The Solution Submitted by Brian Smith    
Rating: 4.0000 (1 votes)

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re(3): Analytical solution (Bonus puzzle question) | Comment 7 of 11 |
(In reply to re(2): Analytical solution (Bonus puzzle question) by Steve Herman)

Using my computer program with the numbers Brian gave (100,110,116,120) as the duplicates shows the solution is not one in which a+d fails to equal b+c, where a, b, c and d are the lightest through 4th lightest in that order.  That equality still holds.

Edited on January 27, 2016, 12:15 pm
  Posted by Charlie on 2016-01-27 12:13:38

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