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

  • question_answer
    60 is divided into two parts such that the sum of their reciprocals is\[\frac{\mathbf{3}}{\mathbf{25}}\]. What is the largest number?

    A)  10                               

    B)  50

    C)  25                               

    D)  20

    Correct Answer: B

    Solution :

    (b): Let the two parts be x and \[\left( 60-x \right)\] Then \[\frac{1}{x}+\frac{1}{60-x}=\frac{3}{25}\] \[\Rightarrow \frac{60-x+x}{x\left( 60-x \right)}=\frac{3}{25}\] \[\Rightarrow {{x}^{2}}-60x+500=0\] \[\Rightarrow {{x}^{2}}-10x-50x+500=0\] \[\Rightarrow x(x-10)-50(x-10)=0\] \[x=10,x=50\] Hence largest number be 50


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