For the circuit shown below $I_1=6\mathrm{.}0$A and $I_2=4\mathrm{.}0A.$ What are the magnitude and direction

of the current $I_3$ flowing through $R_3?$

A$)2\mathrm{.}0A,$ down

B$)2\mathrm{.}0A,$ up

C$)10\mathrm{.}0A,$ up

D$)10\mathrm{.}0A,$ down

E$)$ Cannot be determined without knowing

the battery EMF and resistor value $R_3.$