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

  • question_answer
    Sum of two numbers is 64 and their difference is 22. Find the numbers.

    A)  42, 22            

    B)  43. 21

    C)  40, 24        

    D)         50, 28

    Correct Answer: B

    Solution :

    Let the two numbers be x and y. Then,   \[x+y=64\]               ??(1) Also,     \[x-y=22\]              ?...(2) or         \[y-x=22\]               ?.(3) (I) If \[x-y=22,\]from (1) and (2), we have \[2x=86\] \[\Rightarrow \]  x = 43 and y = 21 (ii) If \[y-x=22,\]from (1) and (3), we have \[2y=86\,\,\,\Rightarrow \,\,y=43\]and \[x=21\] \[\therefore \]  Numbers are 43 and 21.


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