math

A boy is 6yrs older than his sister the product of their ages is 135'

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  1. x(x+6) = 135
    Hmmm. 135 = 9*15, so ...

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  2. Sister is X yrs. old.
    Boy is x+6 yrs. old.

    x(x + 6) = 135.
    x^2 + 6x - 135 = 0,
    (x-9)(x+16) = 0,
    x - 9 = 0, X = 9.
    x + 16 = 0, X = -16.
    Solution: X = 9. x+6 = 9+6 = 15.

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