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

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answer is B.

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Detailed Solution

Concept- Assume two natural numbers be variables i.e.,

. Now use the given condition i.e., difference of

(

) 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

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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