The 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

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### 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) .

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