The governor of state a earns $52,755 more then the governor of state b. Together there annual salary is 299,695 what does each governor make

Question

Please give answer 

Answer 1

Let's say that
a = the salary for governor a
b = the salary for governor b

We know that a + b = 299,695
We also know that governor a makes 52,755 more than governor b.
This means that a = b + 52,755
Because a = b + 52,755, we can substitute b + 52,755 for a in the first equation.
In other words, a + b = 299,695 becomes b + 52,755 + b = 299,695
We can add the b's together to get 2b + 52,755 = 299,695
Then we subtract 52,755 from both sides, giving us 2b = 246,940.
Then we can divide by 2 to get b = 123,470.
So now we know how much governor b makes. To find governor a's salary, we simply add 52,755 which gives us a = 176,255.