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A women is now 3 times as old as his son.In 10 years times , the sum of their ages will be 76. How old was the woman when her son was born ?

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2 answers

  1. W = Women´s present age

    S = Son´s present age

    A women is now 3 times as old as his son means:

    W = 3 S

    After 10 yrs women will be W + 10 yrs old, son wil bee S + 10 yrs old.

    In 10 years times, the sum of their ages will be 76 means:

    W + 10 + S + 10 = 76

    Replace W = 3 S in this equation:

    3 S + 10 + S + 10 = 76

    4 S + 20 = 76

    Subtract 20 to both sides

    4 S = 56

    Divide both sides by 4

    S = 14

    Son´s present age = 14

    W = 3 S = 3 * 14 = 42

    Woman´s present age = 42

    When her son was born woman was 42 - 14 = 28 yrs old

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  2. Excellent, I have tried this using bizarre methods. This explanation is straight and simple. Thanks

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