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

  • question_answer
    A positive number, when increased by 10 equals 200 times its reciprocal. What is number?

    A)  100                             

    B)  10

    C)  20                               

    D)  200

    Correct Answer: B

    Solution :

    (b): Let the positive number be x. Then, according to the question \[x+10=\frac{200}{x}~\Rightarrow {{x}^{2}}+10x=200\] \[\Rightarrow {{x}^{2}}+10x-200=0\Rightarrow (x-10)(x+20)=0\] \[\therefore x=10,-20,\]since x is a positive number. So, the required number is 10.


You need to login to perform this action.
You will be redirected in 3 sec spinner