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Math Help - Laura is 3 time as old as Maria was when Laura was as old as Maria is now

  1. #1
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    Laura is 3 time as old as Maria was when Laura was as old as Maria is now

    Laura is 3 time as old as Maria was when Laura was as old as Maria is now. In 2 years Laura will be twice as old as Maria was 2 years ago. Find their ages.

    Laura age is l and Maria age is m.

    The second condition says l+2 = 2(m-2)

    What does the first sentence say?
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    Smile Solution

    Oh noes the wrong answer is deleted!
    Last edited by Orbent; October 5th 2009 at 08:01 PM. Reason: Posted incorrect answer!
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  3. #3
    Bar0n janvdl's Avatar
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    Quote Originally Posted by brucejin View Post
    Laura is 3 time as old as Maria was when Laura was as old as Maria is now. In 2 years Laura will be twice as old as Maria was 2 years ago. Find their ages.

    Laura age is l and Maria age is m.

    The second condition says l+2 = 2(m-2)

    What does the first sentence say?
    The first sentence says:

    We have an age for Laura and Maria in the present.
    AND
    We have an age for Laura and Maria in the past.

    Laura's PRESENT age is now 3 times that of Maria's PAST age. (When Laura was as old as Maria now is, but Laura is older, so Maria was younger then...)

    "Laura is 3 time as old as Maria was when Laura was as old as Maria is now."

    On the left hand side we have,
    Laura is 3 times as old, This means that your L has to be 3 times bigger!
    3L
    No that is not correct.

    Laura is 3 times as old as Mary means:
    L = 3M

    But that is not the correct reasoning anyway.
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  4. #4
    Senior Member pacman's Avatar
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    this is some of the classic age problem puzzles, quite similar to Paul Rider's Algebra of the 1930's.
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    "Laura is 3 time as old as Maria was when Laura was as old as Maria is now."

    L=3(maria's old age)

    laura was maria's age (laura's age now-maria's age now) years ago

    maria's old age=maria's age now-(time ago when laura was maria's age)

    maria's old age=maria's age now-(Laura's age now-maria's age now)

    maria's old age=m-(l-m)

    so now u can solve it using the equation above
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