Answer
The equation for the acid base reaction and the conjuagate acids and bases are shown in the picture. The equilibrium favors the products.
Work Step by Step
$CH_3O^-$ can accept a proton from $CH_3NH_3^+$. So the following reaction will take place. $CH_3NH_2$ is the conjugate base because it losses a proton and $CH_3OH$ is conjugate acid because it gains a proton. Stronger acid and base are on the reactant side. The equilibrium will favor the weaker side and thus, products will be favored.
None of them are resonance stabilized.
