**Quote:**

z - y = y - x is the same as x + z = 2y. How does this imply that z > x?

Thanks for your response!!

I could be missing something fundamental, but when I see "z" as any positive number(e.g.8) and subtract "y" any other positive number (e.g. 6) --> "8-6 = 2"

Now, in order to obtain 2 on the RHS(y-x), I have y, which is "6" (as assumed previously) - (x) some positive number (6-x). Now that number,x, is "4" in this case, and therefore less than 8, which is z.

I know when you simplify the equation to x+z=2y , it doesn't result into anything concrete, but if we keep the equation in as-is form, it implies z>x.

As I mentioned earlier, I could be missing something fundamental, therefore apologies in advance if my question is too pedantic.

Thanks a lot!

D