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    Question

    The ratio of two numbers β€˜M’ and β€˜N’ is 2:3,

    respectively. If 12 is added to each of β€˜M’ and β€˜N’, then the ratio of β€˜M’ and β€˜N’ becomes 3:4. The sum of β€˜M’ and β€˜N’ is:
    A 50 Correct Answer Incorrect Answer
    B 60 Correct Answer Incorrect Answer
    C 70 Correct Answer Incorrect Answer
    D 80 Correct Answer Incorrect Answer

    Solution

    Let the two numbers β€˜M’ and β€˜N’ be β€˜2x’ and β€˜3x’, respectively ATQ; (2x + 12)/(3x + 12) = 3/4 Or, 8x + 48 = 9x + 36 Or, x = 12 Now, sum of β€˜M’ and β€˜N’ = 2 Γ— 12 + 3 Γ— 12 = 60

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