Consider the following problem:
There are two spherical conductors $A, B$, with capacitances $C_A, C_B$ resp. Conductor $A$ is supplied some charge and is found to have a potential of $160 \space V$. Conductor $B$ is also supplied some charge and is found to have a potential of $50 \space V$. They are then connected so that their charges equalize. Now, their common voltage is $140 \space V$. Find $C_A: C_B$.
I started off with the basic relation, $Q_A = C_AV_A = 160\space C_A$ similarly, $Q_B = 50C_B$. Now, when they are connected the total charge will equal $Q_T = Q_A + Q_B = 160C_A + 50C_B$. Now, the total capacitance of the combination of these spheres will be $C_T$.
I can't seem to decide if these spheres should be considered to be connected in parallel or in series.