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    Question

    The ratio of two numbers β€˜P’ and β€˜Q’ is 4:5,

    respectively. If 6 is added to each of β€˜P’ and β€˜Q’, then the ratio of β€˜P’ and β€˜Q’ becomes 5:6. The sum of β€˜P’ and β€˜Q’ is:
    A 45 Correct Answer Incorrect Answer
    B 54 Correct Answer Incorrect Answer
    C 63 Correct Answer Incorrect Answer
    D 72 Correct Answer Incorrect Answer

    Solution

    Let the two numbers β€˜P’ and β€˜Q’ be β€˜4x’ and β€˜5x’, respectively ATQ; (4x + 6)/(5x + 6) = 5/6 Or, 24x + 36 = 25x + 30 Or, x = 6 Now, sum of β€˜P’ and β€˜Q’ = 4 Γ— 6 + 5 Γ— 6 = 54

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