$\"\"$

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Let the two numbers be $\"\"$ and $\"\"$ .

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The difference of two numbers is same as their product.

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The equation is $\"\"$ .

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The sum of their resiprocals is $\"\"$ .

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The equation is $\"\"$ .

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$\"\"$

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The system of equations are $\"\"$ .

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Find the two numbers.

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$ and $\"\"$

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$\"\"$ and $\"\"$ .

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$\"\"$ is not possible, hence it is not considered.

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For $\"\"$ , $\"\"$ .

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Therefore, the two numbers are $\"\"$ and $\"\"$ . $\"\"$

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The two numbers are $\"\"$ and $\"\"$ .