A set of five numbers are added in all 10 possible pairs like in some of the
Pumpkins puzzles.
When sorted the middle six sums are 47, 48, 50, 51, 52, and 54. The two largest sums and two smallest sums are not given, similar to
Permuted Sums.
What are the possible sets of the five original numbers?
(In reply to
Another possibility by Steve Herman)
If variable a is started at 1.5 instead of 1, the other variables follow suit in being offset by .5, resulting in:
19.5 23.5 24.5 27.5 30.5
43 44 47 50 48 51 54 52 55 58 orig sums
43 44 47 48 50 51 52 54 55 58 sorted sums
19.5 23.5 26.5 27.5 28.5
43 46 47 48 50 51 52 54 55 56
43 46 47 48 50 51 52 54 55 56
Other fractions would be more problematic to program, and I think make solution impossible as, for example a .6 would have to be paired with a .4, but then later, two of these .6's would have to be paired with each other.
Edited on December 23, 2020, 10:59 am
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Posted by Charlie
on 2020-12-23 10:55:41 |
re: Another possibility
