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Discussion :: Problems on Ages

  1. Q is as much younger than R as he is older than T. If the sum of the ages of R and T is 50 years, what is definitely the difference between R and Q's age?
    2. A.

    1 year
    B.

    2 years
    C.

    25 years
    D.

    Data inadequate
    E.

    None of these

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    Answer : Option D

    Explanation :

    Given that:

    1. The difference of age b/w R and Q = The difference of age b/w Q and T.

    2. Sum of age of R and T is 50 i.e. (R + T) = 50.

    Question: R - Q = ?.

    Explanation:

    R - Q = Q - T

    (R + T) = 2Q

    Now given that, (R + T) = 50

    So, 50 = 2Q and therefore Q = 25.

    Question is (R - Q) = ?

    Here we know the value(age) of Q (25), but we don't know the age of R.

    Therefore, (R-Q) cannot be determined.

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