SOLUTION: Ariel is 2 years older than twice Juan's age. Felix is 6 years older than Juan. If the sum of their ages is 80, how old is each person? A+J+F=80 A= 2J+2 F= J+6 Is this s

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Ariel is 2 years older than twice Juan's age. Felix is 6 years older than Juan. If the sum of their ages is 80, how old is each person? A+J+F=80 A= 2J+2 F= J+6 Is this s      Log On

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Question 1124685: Ariel is 2 years older than twice Juan's age. Felix is 6 years older than Juan. If the sum of their ages is 80, how old is each person?
A+J+F=80
A= 2J+2
F= J+6
Is this set up correct? How do I find their ages at this point?

Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.
Your setup is correct, and you are on the right track.


Congratulations !


Your next step is to substitute the expressions from the second line and from the third line into very first equation.


You will get then

(2J + 2) + J + (J+6) = 80.


Simplify and solve for J.


Then evaluate A and F.