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    Question

    The sum of the ages of a father and his son is 54 years.

    Six years ago, the father was 5 times as old as his son. Find their present ages.
    A 77 yrs and 33 yrs Correct Answer Incorrect Answer
    B 69 yrs and 27 yrs Correct Answer Incorrect Answer
    C 41 yrs and 13 yrs Correct Answer Incorrect Answer
    D 51 yrs and 19 yrs Correct Answer Incorrect Answer

    Solution

    Let present age of father = F years Let present age of son = S years Given: F + S = 54 ...(1) Six years ago: FatherтАЩs age = F тИТ 6 SonтАЩs age = S тИТ 6 Given: F тИТ 6 = 5(S тИТ 6) тЗТ F тИТ 6 = 5S тИТ 30 тЗТ F = 5S тИТ 24 ...(2) Substitute (2) in (1): (5S тИТ 24) + S = 54 6S тИТ 24 = 54 6S = 78 S = 13 Then F = 54 тИТ 13 = 41 Answers: FatherтАЩs present age = 41 years SonтАЩs present age = 13 years

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