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9 June, 03:31

In a film, 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 30 years time I shall only be twice her age." Using algebra as opposed to "trial & error", how old is the "uncle" and the woman?

Each answer must be explained in detail using the correct vocabulary to receive full credit.

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  1. 9 June, 03:56
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    Age of uncle = 90 years

    Age of woman = 30 years

    Step-by-step explanation:

    Let the age of uncle be x years

    And age of woman be y years

    Now, uncle is three times her age ⇒ x = 3y ... (1)

    Also, in 30 years uncle is twice her age ⇒ x + 30 = 2 (y + 30) ... (2)

    Now, substituting x = 3y from equation (1) in equation (2)

    ⇒ 3y + 30 = 2y + 60

    ⇒ y = 30

    So, x = 90

    Hence, Age of uncle = 90 years

    Age of woman = 30 years
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