Multiplication and difference of two numbers are 93 and 28 respectively. Find the difference of reciprocals of the numbers.

A \(\frac{{93}}{{28}}\)

B \(\frac{{28}}{{93}}\)

C \(\frac{{13}}{{17}}\)

D \(\frac{{17}}{{29}}\)

E \(\frac{{41}}{{34}}\)

Correct Answer: Option B

Let the numbers are x and y

∴x × y = 93 ____________(1)

x – y = 28 ____________(2)

Now reciprocals of the numbers \(= \frac{1}{x}and\frac{1}{y}\)

Then,

Required difference \(= \frac{1}{y} - \frac{1}{x} = \frac{{x - y}}{{xy}}\)

\(= \frac{{28}}{{93}}\)

Hence the required difference of the reciprocals of the numbers \(= \frac{{28}}{{93}}\)