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

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

    A)  40 years          

    B)  45 years

    C)  50 years          

    D)  60 years

    Correct Answer: D

    Solution :

    [d] Let the mother?s age be y years \[\therefore \] The age of father = (y + 9) years The age of son \[=\frac{y}{2}\] years The age of daughter \[=\left( \frac{y}{2}-7 \right)\]years Now according to the given condition, \[(y+9)=3\left( \frac{y}{2}-7 \right)\] \[\Rightarrow y+9=\frac{3y-42}{2}\Rightarrow 2y+18=3y-42\] \[\Rightarrow y=60\,\,years\]


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