This study establishes methods to overcome choked-flow and flow-hysteresis problems of Busemann biplane at off-design conditions. Two-dimensional (2-D) analyses of three Busemann-type biplanes have been addressed, using the application of Computational Fluid Dynamics (CFD) code in inviscid flow (Euler) mode. These biplane configurations are designed in such a way that the front streamline area and the rear streamline area can be changed with the use of leading- and trailing-edge flaps (similar to high-lift devices). In this paper, the individual effects of the change in each area on choked-flow and flow-hysteresis are studied in detail. Also, the combined effect of the two is investigated. The results of these analyses show the solutions that are highly capable of overcoming these problems.