Three Dimensional Geometry

\(\mathrm{ABC}\) is a triangle in a plane with vertices \(\mathrm{A}(2,3,5), \mathrm{B}(-1,3,2)\) and \(\mathrm{C}(\lambda, 5, \mu)\). If median through \(\mathrm{A}\) is equally inclined to the co-ordinate axes, then value of \(\lambda+\mu\) is