First of all let me give you the schematic diagram of the circuit,
Here, how to find the current passing through 150 ohm resistor?
These are the things I have tried,
Since I want to find the current through 150 ohm resistor I need the potential drop across that resistor , therefore in order to do find the potential drop across 150 ohm resistor what I did was I marked the nodes as shown below
After that I took the voltage through-out (green)node as 10V(10V battery is on green node) , likewise I took the voltage throughout red colour node as 5V.
Then I could find the voltage drop through 150 ohms, so let's assume it as K
Therefore 10V - k = 5V
Then the current through that resistor is ,
V=IR 5V/150 I = 0.03A
But the answer is wrong, The correct answer given is 0.1A.
What is the mistake I have done? Please help me