Assertion (A): Amines can be separated from non basic organic compounds by reacting with $\mathrm{HX}$ followed by treatment with a base like $\mathrm{NaOH}$.

Reason (R): Amine salts are soluble in water but insoluble in organic solvents.

Reaction of amines with $\mathrm{HX}$ followed by $\mathrm{NaOH}$,

$$\begin{gathered} {\mathrm{RNH}}_2+\mathrm{HX}\to {\mathrm{RNH}}_2{{}^{+}\mathrm{X}}^{-} \\ {\mathrm{RNH}}_2{{}^{+}\mathrm{X}}^{-}+\mathrm{NaOH}\to {\mathrm{RNH}}_2+{\mathrm{H}}_2\mathrm{O}+\mathrm{NaX} \end{gathered}$$

Being basic in nature, amines react with acid to form a salt which further reacts with a strong base to give the parent amine.

This free amine can be separated from other impurities by dissolving in polar solvent like water because polar dissolves polar.

Thus, both assertion and reason are true and reason is the correct explanation of assertion.