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15 August, 10:34

6 years ago jack was three times older then wade. In four years wade will be half as old as jack. How old are they now?

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  1. 15 August, 12:08
    0
    Jack's age is 36

    Wade's age is 16

    Step-by-step explanation:

    Let jack's age be "j"

    and

    Wade's age be "w"

    First, we have:

    6 yrs AGO, Jack was 3 times as Wade, so we can write:

    j-6 = 3 (w-6)

    Then, we have:

    4 yrs from NOW, Wade will be HALF as Jack, so we can write:

    w+4 = 0.5 (j+4)

    Lets simplify the first equation:

    j-6 = 3 (w-6)

    j - 6 = 3w - 18

    Solving for j:

    j = 3w - 18 + 6

    j = 3w - 12

    Now, simplifying the second equation:

    w+4 = 0.5 (j+4)

    w+4 = 0.5j+2

    w = 0.5j - 2

    Now we replace this equation with j's expression we found from first equation:

    w = 0.5j - 2

    w = 0.5 (3w - 12) - 2

    w = 1.5w - 6 - 2

    0.5w = 8

    w = 16

    Now, finding j:

    j = 3w - 12

    j = 3 (16) - 12

    j = 36

    So,

    Jack's age is 36

    Wade's age is 16
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