Ta có:\(x\times y\times y\times z\times x\times z=x^2\times y^2\times z^2=14\times10\times35=4900=\left(x\times y\times z\right)^2=70^2\)

\(\Rightarrow x\times y\times z=70\)

\(\Rightarrow x=7;y=2;z=5\)

\(\Rightarrow x+y+z=7+2+5=14\)