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22 April, 19:12

Kevin is 3 years older than daniel. Two years ago, Kevin was 4 times as old as Daniel. Let k be Kevin's age and let d be Daniels age. What system of equations would represent this situation?

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  1. 22 April, 19:17
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    Daniel (now) is 3 years old, (2 years ago) is 1 year old.

    Kevin (now) is 6 years old, (2 years ago) is 4 years old.

    Step-by-step explanation:

    Now:

    -Kevin: k = d + 3

    -Daniel: d

    2 years ago:

    -Kevin: k - 2 = 4 (d - 2)

    -Daniel: d - 2

    We have the equation:

    (k - 2) + 2 = k

    4 (d - 2) + 2 = d + 3

    4d - 8 + 2 = d + 3

    3d - 6 = 3

    3d = 9

    d = 3

    k = d + 3 = 3 + 3 = 6
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