MathematicsThe difference between two natural numbers is and the difference of their reciprocals is . Find the numbers.

The difference between two natural numbers is and the difference of their reciprocals is . Find the numbers.


  1. A
     
  2. B
     
  3. C
     
  4. D
     

    Fill Out the Form for Expert Academic Guidance!l



    +91



    Live ClassesBooksTest SeriesSelf Learning



    Verify OTP Code (required)

    I agree to the terms and conditions and privacy policy.

    Solution:

    Concept-  Assume two natural numbers be variables i.e., . Now use the given condition i.e., difference of is () and second equation will be difference of the reciprocals of variables is (Here, reciprocal is positive. Therefore, ) . Solve both the required linear equations of two variables.
    Let, two natural numbers be and Given that,
    The difference between two natural numbers is Or And the difference of their reciprocals is   which is positive. Therefore, Now, using algebraic identity
    Adding equation (1) and (2) ,
    We get Put in equation (2)
    It implies that Hence, the correct answer is option (2) .
     
    Chat on WhatsApp Call Infinity Learn

      Talk to our academic expert!



      +91


      Live ClassesBooksTest SeriesSelf Learning




      Verify OTP Code (required)

      I agree to the terms and conditions and privacy policy.