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SSC Sample Paper Mock Test-1 SSC CGL Tear-II Paper-1

  • question_answer
    The sum of the ages of a mother and son is 45 yr. Five years ago the product of their ages was 4 times the mother's age at that time. The present age of the mother and son, respectively are

    A) 36 yr, 9 yr        

    B)  39 yr, 6 yr

    C)  42 yr, 12yr                   

    D)  25 yr, 10yr

    Correct Answer: A

    Solution :

    Let the present ages of mother and son be x years and \[(45-x)\]years. Then, \[(x-5)(45-x-5)=4\,\,(x-5)\] \[\Rightarrow \]   \[{{x}^{2}}+41x-180=0\] \[\Rightarrow \]                           \[x=36\] \[\therefore \]The present ages of mother and son are 36 yr and 9 yr respectively.


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