SOLUTION: Two years from now, Jorge will be 3 times as old as Maria is now, in ten years, Jorge will be four times as old as Maria is now. What are Jorge's and Maria's current age?

Question 201528: Two years from now, Jorge will be 3 times as old as Maria is now, in ten years, Jorge will be four times as old as Maria is now. What are Jorge's and Maria's current age?
Found 2 solutions by solver91311, josmiceli:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Let represent Jorge's age now.

Let represent Maria's age now.

Two years from now, Jorge will be so:

Ten years from now, Jorge will be so:

Solve the system for and . Use the elimination method beginning with multiplying the first equation by -1. Then adding the equations will give you Maria's age directly.

John

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = Jorge's age now
Let = Maria's age now
given:
Jorge's age in years will be

Jorge's age in years will be

(1)
(2)
Subtract (1) from (2)

And, since

Currently, Maria is 8 and Jorge is 22

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