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With some difficulty. Easiest way would be with three lights connected in series, shining at the same time.
Hook a 12 volt light to a 24 volt system and the light will burn out in seconds. You need a step-down voltage converter to do this.
Separate the 2 12 volt batteries and charge them individually.
Yes, if you have a 12 volt battery and/or a charging system to support it.
No, you can not hook up a 12-110 volt inverter to a house socket.
If your cart has 4, 12 volt batteries in series to make up the 48 volts, just connect the 12 volt lights across one of the batteries.
Not an answerable question Missing type of batteries, and application.
No
You must hook them up in series. You will need four 12 volt batteries to do this.
Yes, connect them in Parallel. You will still have 12 volts but the amperage will double which is fine.
Yes, the plow is an additional draw that the truck didn't have before. You may need to put a heavier alternator on or hook it up to a battery charger when not using it.
1967 was the first year for the 12 volt system in the VW's.