Answer:
Let's call the salary of the governor of state B "x".
According to the problem, the governor of state A earns $49,070 more than the governor of state B. So the salary of the governor of state A can be expressed as "x + 49,070".
We also know that the total of their salaries is $291,120, so we can set up an equation:
x + (x + 49,070) = 291,120
Simplifying the equation, we can combine like terms:
2x + 49,070 = 291,120
Subtracting 49,070 from both sides:
2x = 242,050
Dividing by 2:
x = 121,025
So the salary of the governor of state B is $121,025.
To find the salary of the governor of state A, we can use the expression we came up with earlier:
x + 49,070
121,025 + 49,070 = 170,095
So the salary of the governor of state A is $170,095.