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## Homework Statement

I have been stuck at the following question for some time now. All help is appreciated.

## Homework Equations

P=IV, V=IR

## The Attempt at a Solution

I have resolved the right side of the circuit into a 10 ohm resistor. I have also found the current in the 20 ohm resistor (0.4A). I then used Ohm's Law to get the current in the 10 ohm resolved resistor and found it to be 5A. Then using Kirchoff's Current Law, I got 5.4A in the unknown resistor R, which gives a resistance of 9.26 ohms.

This 9.26 ohms however disagrees with the given answer of 10 ohms.

Where have I went wrong? All help is appreciated!

Thanks!