The present investigation aims to study the effect of a transverse magnetic field with the presence of an adverse pressure gradient on the two-dimensional laminar incompressible boundary layer flow over a flat plate. Using appropriated similarity transformations, the partial differential equations governing the studied problems are transformed into the ordinary nonlinear differential equations. Thereafter, these equations are solved numerically and analytically using the fourthorder Runge-Kutta method featuring shooting technique and the Adomian decomposition method, respectively.Obtained results reveal an excellent agreement between analytical and numerical data for temperature and concentration profiles. K E Y W O R D S boundary layer, concentration profile, decomposition method, MHD flow, shooting method, temperature profile