xy/(x+y)=4zy/(z+y)=6zx/(z+x)=3

Question

xy/(x+y)=4
zy/(z+y)=6
zx/(z+x)=3

Answer 1

xy/(x+y)=4 ∴1/x+1/y=1/4
zy/(z+y)=6 ∴1/z+1/y=1/6
zx/(z+x)=3∴1/z+1/x=1/3
1/x=5/24,1/y=1/24,1/z=1/8
∴x=24/5,y=24,z=8