# Solve this simple problem 'Simply'

Algebra Level 2

If, $\frac{x+y}{2}=\frac{y+z}{3}=\frac{z+x}{4}$Then $$x:y:z$$ can be expressed as a:b:c where $$a, b$$ & $$c$$ are positive co-prime integers. What's $$a+b+c$$? ($$x, y, z$$ are positive reals.)

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