Step-by-step explanation:
Note that the voltage source has nothing to do with the answer....
R total = 1 / (1/r1 + 1/r2) = 1 / ( 1/100 + 1/200) = 66.67 Ω
OR
r total = r1 * r2 / ( r1+r2) = 100* 200 / 300 = 66.67 Ω
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