Algebra Equation about two people's age?

In a film, the actor Charles Coburn plays an elderly "uncle" character criticized for marrying a woman when he is 3 times her age. He wittily replies, "Ah, but in 20 years time I shall only be twice her age." How old are the "uncle" and the woman?

Steps, please.

2 Answers

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  • -j.
    Lv 7
    8 years ago
    Favorite Answer

    Let m be the man's age, and w be the woman's age.

    Now:

    m = 3 * w

    Later:

    (m + 20) = 2 * (w + 20)

    So

    m + 20 = 2w + 40

    And we know that m = 3w already. so

    m + 20 = 2w + 40

    (3w) + 20 = 2w + 40

    3w = 2w + 20

    w = 20

    Which means m = 60.

    Now, he is 60 and she is 20, so he's 3 times as old.

    In 20 years, he'll be 80 and she'll be 40, so he'll be only twice as old.

  • ?
    Lv 4
    4 years ago

    Actor Charles Coburn

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