SOLUTION: I'm asking this question once again but I never really received an answer. Thank you. Ricardo is 34 years younger than Carissa. 2 years ago, Carissa's age was 2 times Ricardo's

Algebra ->  Linear-equations -> SOLUTION: I'm asking this question once again but I never really received an answer. Thank you. Ricardo is 34 years younger than Carissa. 2 years ago, Carissa's age was 2 times Ricardo's       Log On


   



Question 1175064: I'm asking this question once again but I never really received an answer. Thank you.
Ricardo is 34 years younger than Carissa. 2 years ago, Carissa's age was 2 times Ricardo's age. How old is Ricardo now?

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

let Ricardo’s age be R and Carissa’s age C
if Ricardo is 34 years younger than Carissa, we have
R=+C-34 .....eq.1
2 years ago Ricardo was R-2 and Carissa C-2, and
if 2 years ago, Carissa's age was 2 times Ricardo's age we have
C-2=2%28R-2%29.....eq.2
solve the system:
R=+C-34 .....eq.1
C-2=2%28R-2%29.....eq.2
-----------------------------------------
C-2=2%28R-2%29.....eq.2...substitute R from eq.1
C-2=2%28C-34-2%29....solve for C
C-2=2C-68-4
C-2=2C-72
72-2=2C-C
C=70
go to
R=+C-34 .....eq.1, substitute C
R=+70-34
R=+36
Ricardo is R=+36 years old now.