(In reply to
computer solution by Charlie)
Well, I noticed my program missed, for example, 2,6,18, mentioned by Steve Herman. I found the bug: I had used gcd of the denominators for multiplying the numerators, supposedly to assure not getting rounding problems in 1/2 + 2/6 + 3/18, but I should have used the lcm to avoid extended fractions voiding the equality condition. I redid the solutions for all x, y, z positive:
2 5 30
2 6 18
2 7 14
2 8 12
2 10 10
2 12 9
2 16 8
2 28 7
3 4 18
3 6 9
3 12 6
3 30 5
4 3 36
4 4 12
4 8 6
5 4 10
5 10 5
5 40 4
6 3 18
6 4 9
6 6 6
6 24 4
8 4 8
8 16 4
10 5 6
12 3 12
12 12 4
14 4 7
15 6 5
20 10 4
30 3 10
36 9 4
Edited on February 28, 2021, 2:30 pm
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Posted by Charlie
on 2021-02-28 10:07:32 |
re: computer solution
