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