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    Question

    The ratio of (p + q):(p – q) is 23:9, where ‘p’ and

    ‘q’ are positive integers. Find the ratio of ‘p’ and ‘q’, respectively.
    A 12:5 Correct Answer Incorrect Answer
    B 16:7 Correct Answer Incorrect Answer
    C 18:3 Correct Answer Incorrect Answer
    D 17:2 Correct Answer Incorrect Answer

    Solution

    ATQ,

    (p + q):(p – q) = 23:9

    Let (p + q) be ‘23k’ ………… (I) (where ‘k’ is any integer)

    So, (p – q) = 23k × (9/23)

    So, p – q = 9k ………… (II)

    On adding equation (I) and (II), we have;

    2p = 32k

    Or, ‘p’ = ‘16k’

    On putting the value of ‘p’ = 16k in equation (I), we have;

    16k + q = 23k

    So, ‘q’ = 7k

    So, required ratio = (16k:7k) = 16:7

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