Heat Conduction question from JEE Main 2023 (13 Apr, Shift 2)

Two plates $\text{A}$ and $\text{B}$ have thermal conductivities $84\text{ W m}^{-1}\text{ K}^{-1}$ and $126\text{ W m}^{-1}\text{ K}^{-1}$ respectively. They have same surface area and same thickness. They are placed in contact along their surfaces. If the temperatures of the outer surfaces of $\text{A}$ and $\text{B}$ are kept at $100^\circ\text{C}$ and $0^\circ\text{C}$ respectively, then the temperature of the surface of contact in steady state is _____________ $^\circ\text{C}$.