The governor of state A earns ?$53,495 more than the governor of state B. If the total of their salaries is ?$284,765?, find the salaries of each.

Question

find out how much bother governors make

Answer 1

Let a = the salary of governor A

Let b = the salary of governor B

 

Then a = b + 53495

 

and a + b = 284765

 

Substitution of the first equation into the second:

 

b + 53495 + b = 284765

 

2b = 231270

 

b = 115635

 

 

therefore a = 284765 - 115635 = 169130