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?
(In reply to Analytical solution
by Steve Herman)
I have been thinking about your solution some more. It certainly works for the given problem but it seems to fall apart if I change the problem statement to having duplicates of 100, 110, 116, and 120. Can your solution be modified to solve this version?