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?

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Answer 1 · 2018-07-04T09:42:11

#color(green)("Salary of Senator " = $165,100#

#color(blue)("Salary of Congressman " = $123,800#

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

#"Given " c + s = $288,900 " Eqn (1)#

#"Also given " -c + s = $41,300 " Eqn (2)#

Adding Eqns (1) & (2),

#cancelc + s cancel(- c) + s = 288900 + 41300#

#2 s = 330200 " or " s = 330200 / 2 = #165,100#

#c = 288900 - s = 288900 - 165100 = $123,800#