>>13230651im doing this for my own satisfaction, but maybe this will help you anons
so far i found that there is no integer solution for
x = y = z
x > y = x
x < y = z
notice the order of the letters doesn't (the fractions are all "symmetrical") matter, just the signal
i'm now investigating the only remaining case, which is x > y > z
in this case, some things of notice
y / (z+x) must be lower than 1
z / (x+y) must be lower than 1
consequently
x / (y+z) must be bigger than 2, but lower than 4
so far that is what i got, i'm looking for the answer alone so please dont spoil me, i will come back when i finish it