A Carnot engine (E) is working between two temperatures 473 K and 273 K. In a new system two engines - engine ${E_1}$ works between 473 K to 373 K and engine ${E_2}$ works between 373 K to 273 K. If ${\eta _{12}},{\eta _1}$ and ${\eta _2}$ are the efficiencies of the engines $E,{E_1}$ and ${E_2}$, respectively, then