Question

The combined land area of the countries A and B is 170​,973 square kilometers. Country A is larger by 473 square kilometers. Determine the land area of each country.

Answer 1

`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)`