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    Question

    Five years from now, the sum of the ages of ‘X’ and

    ‘Y’ will be 50 years. Ten years ago, ‘X’ was 8 years younger than ‘Y’. What will be the age of ‘Y’ two years from now?
    A 33 yrs Correct Answer Incorrect Answer
    B 30 yrs Correct Answer Incorrect Answer
    C 26 yrs Correct Answer Incorrect Answer
    D 12 yrs Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let present ages be:

    X = p

    Y = q

    Condition 1:

    (p + 5) + (q + 5) = 50

    ⇒ p + q = 40 ——— (i)

    Condition 2:

    p - 10 = q - 10 - 8

    ⇒ p = q - 8 ——— (ii)

    Substitute (ii) in (i):

    (q - 8) + q = 40

    2q = 48

    q = 24

    Required age of Y = 24 + 2 = 26 years

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