10th Class Mathematics Pair of Linear Equations in Two Variables Question Bank Pair of Linear Equations in Two Variables

  • question_answer
    At the end of the year 2002, Ram was half as old as his grandpa. The sum of the years in which they were born is 3854. Age of Ram at the end of year 2003 is ____.

    A)  50 years         

    B)  35 years                     

    C)  51 years       

    D)         36 years                     

    Correct Answer: C

    Solution :

    Let the year in which Ram was born be x and the year in which Ram's grandpa was born be y. Then, according to question,             \[2002-x=\frac{2002-y}{2}\] \[\Rightarrow \]            \[2x-y=2002\] ?..(1) and      \[x+y=3854\]             .....(2) Solving (1) and (2), we get \[\Rightarrow \,\,\,x=1952\] Thus 2003, Ram's age would be \[2003-1952=51\text{ }yrs\]

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