Question Number 56857 by azam2412 last updated on 25/Mar/19
$${romi}−{romo}=\mathrm{0} \\ $$$$\mathcal{L}.{x}_{\mathrm{0}} +\mathcal{G}.{y}_{{n}} =\mathcal{L}.{x}_{{n}} +\mathcal{G}.{y}_{\mathrm{0}} \\ $$$$\mathcal{L}\left({x}_{\mathrm{0}} −{x}_{{n}} \right)=\mathcal{G}\left({y}_{\mathrm{0}} −{y}_{{n}} \right) \\ $$$${y}_{\mathrm{0}} =\frac{\mathcal{L}}{\mathcal{G}}.\left({x}_{\mathrm{0}} −{x}_{{n}} \right)+{y}_{{n}} \\ $$$${y}_{\mathrm{0}} =\frac{\mathrm{100}}{\mathrm{200}}\left(\mathrm{0}.\mathrm{01}−\mathrm{0}.\mathrm{001}\right)+\mathrm{0}.\mathrm{0005} \\ $$$${y}_{\mathrm{0}} =\mathrm{0}.\mathrm{005} \\ $$$$ \\ $$