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16 May, 01:10

The square of Mark's age 3 years ago is 6 times the age he will be in 9 years. What is his age now?

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Answers (2)
  1. 16 May, 01:50
    0
    15.

    Step-by-step explanation:

    Let his age now be x years. Then:

    (x - 3) ^2 = 6 (x + 9)

    x^2 - 6x + 9 = 6x + 54

    x^2 - 12x - 45 = 0

    (x - 15) (x + 3) = 0

    x = 15, - 3

    We ignore the negative so his age now is 15.
  2. 16 May, 04:07
    0
    Age = 15

    Step-by-step explanation:

    Let a be for age at the moment

    (a-3) ^2 = 6 (a+9)

    a^2-6a+9=6a+54

    a^2-12a-45

    (a-15) (a+3)

    a=15 or a=-3

    Age cannot be negative (-)

    Therefore

    Age = 15
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