SOLUTION: The sum of Carl's and Patricia's ages is 30. Thirteen years ago, Patricia was three times as old as Carl. How old is each now?

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Question 421459: The sum of Carl's and Patricia's ages is 30. Thirteen years ago, Patricia was three times as old as Carl. How old is each now?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Carl's age now = c
Patricia's age now = 30 - c
==> 3(c - 13) = (30 - c) - 13
==> 3c - 39 = 17 - c
==> 4c = 56
==> c = 14, Carl's age now, and
30 - c = 30 - 14 = 16, Patricia's age now.