9th Class Mathematics Linear Equations in Two Variables Question Bank Linear Equation in two Variables

  • 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): Let the numbers be x and y. According to the question, \[x+y=7~\]     ....(i) and  \[~xy=12\]                                                ....(ii) \[\Rightarrow \frac{1}{x}+\frac{1}{y}=\frac{y+x}{xy}=\frac{7}{12}\]    \[\Rightarrow \frac{1}{x}+\frac{1}{y}=\frac{7}{12}\]                        


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