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15 January, 01:42

Stefan is three years younger than his sister katie. The sum of Stefans age three years ago and 2/3 of katies age at that time is 12. How old is Katie now. Show your work

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  1. 15 January, 01:57
    0
    If x is the age of S

    And y is the age of K

    So we have x=y+3

    And the second equation is x-3 + 2/3) y = 12

    We have to solve the system

    x-y=3

    x+2/3y=15

    we find x=10.2 and y=7.2

    so Katie is 7
  2. 15 January, 01:58
    0
    Katie's age be k, then staefan's age = k - 3

    (k - 3) - 3 + 2/3 (k - 3) = 12

    k - 6 + 2/3k - 2 = 12

    5/3k - 8 = 12

    5/3k = 12 + 8 = 20

    k = (20 x 3) / 5 = 60/5 = 12 years.

    Therefore, katie's age is 12 years old.
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