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    Question

    The total of two numbers ‘a’ and ‘b’ is 660. If

    ‘a’ is reduced by 8% and ‘b’ is increased by 20%, they become equal. Determine the value of ‘b’.
    A 300 Correct Answer Incorrect Answer
    B 286 Correct Answer Incorrect Answer
    C 175 Correct Answer Incorrect Answer
    D 255 Correct Answer Incorrect Answer

    Solution

    ATQ,

    a + b = 660 ……(i)

    ATQ,

    0.92 × a = 1.20 × b

    Or, a = (1.20 / 0.92) × b

    So, a = (30b / 23)

    Put the value of ‘a’ in equation (i), we get,
    (30b/23) + b = 660


    Or, (53b/23) = 660

    Or, b = 660 × (23/53)

    So, b = 286

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