\(A+B=170,973\)
A is larger by \(47 km^{2}\)
The equation is \((B+473)+B=170,973\)
Subtract 473 from each side and add the B's
\(B+473-473+B=170,973-473\)
\(2B=170,500\)
Now divide the number by the variable.
\(170,500\) ÷ \(2=85,250\)
\(B=85,250\)
To check, replace the B's with the value.
\((85,250+473)+85,250=170,973\)
\(85,723+85,250=170,973\)
Answer:
County A=\(85,723km^{2}\)
County B=\(85,250km^{2}\)