The circuit is an unbalanced Wheatstone bridge.

Step 1: Analyze the bridge network and identify the given values.
The circuit is an unbalanced Wheatstone bridge.
The voltage source is $V = 54 \text{ V}$.
The total current from the source is given as $I_{total} = 9 \text{ A}$.
The resistors are:
$R_{XA} = 2 \Omega$ (top-left)
$R_{AY} = 4 \Omega$ (top-right)
$R_{XB} = 1 \Omega$ (bottom-left)
$R_{BY} = 3 \Omega$ (bottom-right)
$R_{AB} = 32 \Omega$ (middle, bridge resistor)

There is a contradiction in