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    The ratio of milk to water in a 208-liter mixture is 3:5. If 70 liters of water and X liters of milk are added to the mixture, then the ratio of milk
    Question

    The ratio of milk to water in a 208-liter mixture is 3:5. If 70 liters of water and X liters of milk are added to the mixture, then the ratio of milk to water in the resultant mixture becomes 7:10, respectively. Find X.

    A.

    72

    B.

    68

    C.

    62

    D.

    58

    E.

    52

    Correct option is C

    Quantity of milk = 208×38\frac{3}{8}​=78 liters
    Quantity of water = 208 - 78 = 130 liters
    ATQ,
    78+X130+70=710\frac{78 + X}{130 + 70} = \frac{7}{10}
    78 + X = 140
    X = 62

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