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

  • question_answer
    If the sum of the ages (in years) of a father and his son is 65 and twice the difference of their ages (in years) is 50, what is the age of the father?

    A)  45 years                             

    B)  40 years

    C)  50 years             

    D)         55 years

    Correct Answer: A

    Solution :

     Let the age of father be 'x' years. Let the age of son be 'y' years. Given,                   \[\therefore \]                         ...... (1) and                        \[\text{7}\times \text{13}+\text{13}\]                                   \[\therefore \]          ......(2) Adding eq. (1) and eq. (2), we get \[\text{224}=\text{12}0\times \text{1}+\text{1}0\text{4}\]         \[\text{12}0=\text{1}0\text{4}\times \text{1}+\text{16}\] Hence, the age of father = 45 years.


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