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    Question

    A number is more than 21 times its reciprocal by 11/9. What

    is the number?
    A 5 Correct Answer Incorrect Answer
    B 10 Correct Answer Incorrect Answer
    C 3 Correct Answer Incorrect Answer
    D 18 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the number be x.

    x – 21/x = 11/9

    β‡’ (xΒ² – 21)/x = 11/9

    Cross-multiplying:

    9xΒ² – 189 = 11x

    β‡’ 9xΒ² – 11x – 189 = 0

    Factorizing:

    9xΒ² – 27x + 16x – 189 = 0

    9x(x – 3) + 63(x – 3) = 0

    (9x + 63)(x – 3) = 0

    So, x = –7 or x = 3

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