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Railways Quantitative Aptitude Average Sample Paper Average & Problems on Ages Sample Test Paper-7

  • question_answer
    Abhay's age after six years will be three-seventh of his father's age. Ten years ago, the ratio of their ages was 1 : 5. What is Abhay's father's age at present?

    A)  30 yrs. 

    B)  40 yrs.

    C)  50 yrs. 

    D)  60 yrs.

    Correct Answer: C

    Solution :

    [c] Let the ages of Abhay and his father 10 years age be x and 5x years respectively. Then, Abhay?s age after 6 years \[=(x+10)+6=(x+16)\,\,years.\] Father?s age after 6 years \[=(5x+10)+6=(5x+16)\,\,years.\] \[\therefore \]\[(x+16)=\frac{3}{7}(5x+16)\Leftrightarrow 7(x+16)=3(5x+16)\] \[\Leftrightarrow 7x+112=15x+48\] \[\Leftrightarrow 8x=64\Leftrightarrow x=8.\] Hence, Abhay?s father?s present age \[=(5x+10)=50\,\,years.\]


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