Would a 50 ohm load and a 100 ohm load connected to a 120 volt supply have the same voltage?

If they're connected one at a time ... first one and then the other ... then each one has 120 volts
across it while it's connected to the supply.

If they're connected across the supply at the same time in parallel, then of course they have the
same voltage across them, because their ends are common.

If they're connected across the supply in series, then the voltage across the 50-ohm load is 40 volts,
and the voltage across the 100-ohm load is 80 volts.