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  5. Linear Equations in One Variable

8th Class Mathematics Linear Equations in One Variable Question Bank Linear Equations in One Variable

  • question_answer
    The sum of two numbers is 35 and their difference is 13. What are the numbers?

    A)  \[10,25\]                            

    B)                         \[22,13\]            

    C)                         \[24,11\]                            

    D)                         \[20,15\]            

    Correct Answer: C

    Solution :

    Let the two numbers be x and y. Then,    \[x+y=35\]                          .....(1) \[x-y=13\]                           ..... (2) Adding equations (1) and (2), we get \[2x=48\,\,\,\,\Rightarrow \,\,\,x=24\] Subtracting equation (2) from (1), we get \[2y=22\,\,\,\Rightarrow \,\,y=11\] Hence, the two numbers are 24 and 11.


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