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    Question

    The ratio of two numbers β€˜A’ and β€˜B’ is 9:7,

    respectively. If 6 is subtracted from each of β€˜A’ and β€˜B’, then the ratio of β€˜A’ and β€˜B’ becomes 3:2. The sum of β€˜A’ and β€˜B’ is:
    A 48 Correct Answer Incorrect Answer
    B 64 Correct Answer Incorrect Answer
    C 32 Correct Answer Incorrect Answer
    D 40 Correct Answer Incorrect Answer

    Solution

    Let the two numbers β€˜A’ and β€˜B’ be β€˜9x’ and β€˜7x’, respectively ATQ; (9x - 6)/(7x - 6) = 3/2 Or, 18x - 12 = 21x - 18 Or, 3x = 6 Or, x = 2 Now, sum of β€˜A’ and β€˜B’ = 9 Γ— 2 + 7 Γ— 2 = 32

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