Greetings!
This can be solved using the properties of equality:
[tex]8/9=(30+a)/45[/tex]
Cross Multiply.
[tex]8*45=9*(30+a)[/tex]
Simplify.
[tex]360=9a+270[/tex]
Add -270 to both sides.
[tex](360)+(-270)=(9a+270)+(-270)[/tex]
Simplify.
[tex]90=9a[/tex]
Divide both sides by 9.
[tex](90)/9=(9a)/9[/tex]
Simplify.
[tex]10=a[/tex]
[tex]a=10[/tex]
Hope this helps.
-Benjamin