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    Question

    The ratio of green to yellow balls in a basket is 5:7. If

    15 balls of each color are added, the ratio becomes 2:3. How many yellow balls were originally there?
    A 105 Correct Answer Incorrect Answer
    B 130 Correct Answer Incorrect Answer
    C 200 Correct Answer Incorrect Answer
    D 100 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the number of green and yellow balls originally be 5x and 7x respectively.

    ATQ:

    (5x + 15)/(7x + 15) = 2/3

    ⇒ 3(5x + 15) = 2(7x + 15)

    ⇒ 15x + 45 = 14x + 30

    ⇒ x = 15

    So, original yellow balls = 7 × 15 = 105

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