# The annual salaries of a congressman and a senator total $288,900. If the senator makes$41,300 more than the congressman, how do you find each of their salaries?

Jul 4, 2018

color(green)("Salary of Senator " = $165,100 color(blue)("Salary of Congressman " =$123,800

#### Explanation:

Let the salary of a congressman as 'c' and that of a senator as 's'.

$\text{Given " c + s =$288,900 } E q n \left(1\right)$$\text{Also given " -c + s = $41,300 } E q n \left(2\right)$

$\cancel{c} + s \cancel{- c} + s = 288900 + 41300$
$2 s = 330200 \text{ or } s = \frac{330200}{2} =$165,100
c = 288900 - s = 288900 - 165100 = \$123,800#