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

  • question_answer
    The sum of two numbers is 7 and their product is 12. What is the sum of their reciprocals?

    A)  \[\frac{1}{12}\]                        

    B)  \[\frac{1}{7}\]            

    C)  \[\frac{7}{12}\] 

    D)  \[\frac{7}{15}\]

    Correct Answer: C

    Solution :

    (c): \[x+y=7\]    ....(1) \[xy=12\]         ....(2) Dividing (1) & (2) \[\frac{x+y}{xy}=\frac{7}{12}\] Or \[\frac{1}{x}+\frac{1}{y}=\frac{7}{12}\](ANS)                                 


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