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    Question

    A person 'X' is 8 years younger than 'Y' and also 13 years

    less than twice the age of 'Z'. Given that the ages of 'Y' and 'Z' are in the ratio 5:3, determine the current age of 'X'.
    A 17 Correct Answer Incorrect Answer
    B 20 Correct Answer Incorrect Answer
    C 14 Correct Answer Incorrect Answer
    D 21 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ;

    Let 'Y' = 5x, and 'Z' = 3x
    'X' = 'Y' – 8 = 5x – 8
    Also, 'X' = 2('Z') – 13 = 2(3x) – 13 = 6x – 13
    Hence, 5x – 8 = 6x – 13
    x = 5
    'X' = 5(5) – 8 = 25 – 8 = 17

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