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The difference and the product of two numbers are 5 and 36 respectively. Then the difference of their reciprocals is
Question



The difference and the product of two numbers are 5 and 36 respectively. Then the difference of their reciprocals is

A.

5/36

B.

9/5

C.

5/9

D.

31/36

Correct option is A


We are given that x - y = 5 and x.y = 36.
The difference of the reciprocals is:
|(1/y) - (1/x)| = |(x - y) / (x.y)|
Substitute the given values:
= |5 / 36| = 5/36
Therefore, the answer is (a) 5/36.

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