wattages you add, you dont add the voltages together, a 24v supply will not work, you need a supply with the same voltage as your leds, and if they are different then you cant run them together off the same supply.
what is the voltage requirment of the strips? how did you get 19.5V?
from what i can gather (correct me if i am wrong) you are trying to run
- 1 led bar that came with a power supply rated at 13.5V
- 2 led strips that are rated at 12v
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