SOLUTION: Joy is 10 years older than EJ. Five years ago, EJ is 1/3 as old as Joy. What are their present ages?

Question 1149870: Joy is 10 years older than EJ. Five years ago, EJ is 1/3 as old as Joy. What are their present ages?
Found 2 solutions by josmiceli, greenestamps:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = EJ's age now
= Joy's age now
-----------------------------------

and

-----------------------
EJ is 10
Joy is 20
----------------
check answer:
5 yrs ago,
EJ is 5
Joy is 15
------------

OK
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

With logical reasoning instead of formal algebra....

The difference in their ages is 10 years; when EJ was 1/3 as old as Joy, their ages had to be 5 and 15.

That was 5 years ago, so their ages now are 10 and 20.

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