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SSC Sample Paper SSC CGL - Sample Paper-6

  • question_answer
    In a family, a couple has a son and a daughter. The age of the father is three times that of his daughter and the age of the son is half of that of his mother. The wife is 9 yr younger to her husband and the brother is 7 yr older than his sister. What is the age of the mother?

    A)  40 yr               

    B)  45 yr

    C)  50 yr                           

    D)  60 yr

    Correct Answer: D

    Solution :

    Let the daughter's age be x yr. Then, father's age = (3x) yr. Mother's age \[=(3x-9)\,yr.\] Son's age \[=(x+7)\,\,yr\] So, \[x+7=\frac{3x-9}{3}\Leftrightarrow \,\,2x+14=13x-9\Leftrightarrow x=23\] \[\therefore \] Mother's age \[=(3x-9)=(69-9)\,yr=60\,yr.\]


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