10th Class Mathematics Pair of Linear Equations in Two Variables Question Bank Linear Equation in two Variables

  • question_answer
    In a fraction, if numerator is increased by 20 and denominator is decreased by 4, then the fraction becomes 2. Instead, if numerator is decreased by 4 and denominator is increased by 20, then the fraction becomes\[\frac{2}{5}\]. Find the fraction.

    A)  \[\frac{21}{25}\]                                  

    B)  \[\frac{6}{19}\]

    C)  \[\frac{8}{17}\]                        

    D)  \[\frac{22}{25}\]

    Correct Answer: D

    Solution :

    (d): Let traction be \[\frac{x}{y}\] \[\therefore \frac{x+20}{y-4}=2\] and \[\frac{x-4}{y+20}=\frac{2}{5}\Rightarrow x+28=2y\] and, \[5x-60=2y\] \[\Rightarrow 4x=88\Rightarrow x=22\therefore y=25\]


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