$(10$ POINTS EACH$)$

Two resistors, $R_1=3\mathrm{.}67,$ and $R_2=5\mathrm{.}31,$ are connected in series to a battery with an EMF of $24\mathrm{.}0$ and negligible internal resistance. Find the current $I_1$ through $R_1$ and the potential difference $V_3$ and $V_2$ across $R_1$ and $R_2$ respectively.