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    The sum of the ages of Arun and Bharti is 24 years such that Arun is older. If the age of Arun and Bharti is doubled the difference is 8 years. What i
    Question

    The sum of the ages of Arun and Bharti is 24 years such that Arun is older. If the age of Arun and Bharti is doubled the difference is 8 years. What is the age of Arun in years?

    A.

    28

    B.

    10

    C.

    16

    D.

    14

    Correct option is D

    Given:
    The sum of the ages of Arun and Bharti is 24 years.

    If the age of Arun and Bharti is doubled, the difference between their ages is 8 years.
    Solution:

    Let's denote the age of Arun as A and the age of Bharti as
    A + B = 24...........(1)
    2A - 2B = 8

    A- B = 4.................(2)
    Add the two equations

    (A - B) + (A + B) = 4 + 24.
    2A = 28

    A = 14.

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