Question

The sum and multiplication of two numbers are 11 and 18 respectively, then the sum of their reciprocals is
1. \(\frac{2}{11}\)
2. \(\frac{11}{2}\)
3. \(\frac{18}{11}\)
4. \(\frac{11}{18}\)

Answer 1

Correct Answer - Option 4 : \(\frac{11}{18}\)

Calculation:

Let the two numbers be x and y.

⇒ x + y = 11

Also, xy = 18

Now, \(\frac{1}{x}+\frac{1}{y}=\frac{x+y}{xy}\)

\(\Rightarrow \frac{11}{18}\)