Math

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Three ducks and two ducklings weigh 32 kg. Four ducks and three ducklings weigh 44kg. All ducks weigh the same and all ducklings weigh the same. What is the weight of two ducks and one duckling?
20kgs?

  • Math -

    3 D + 2 d = 32
    4 D + 3 d = 44

    multiply first by 3, second by 2

    9 D + 6 d = 96
    8 D + 6 d = 88 subtract
    ----------------
    D = 8
    so 3*8 + 2 d = 32
    2 d = 8
    d = 4
    so
    2(8) + 1(4) = 20

  • Math -

    Thank You!

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