The sum and product of two numbers are 12 and 35 respectively. The sum of their reciprocals will be :

A. $$\frac{12}{35}$$

B. $$\frac{1}{35}$$

C. $$\frac{35}{8}$$

D. $$\frac{7}{32}$$

Answer: Option A

Solution(By Examveda Team)

Let the numbers be x and y
Then,
$$\eqalign{ & x + y = 12\,\, \& \,\, xy = 35 \cr & \therefore \frac{1}{x} + \frac{1}{y} = \frac{{x + y}}{{xy}} = \frac{{12}}{{35}} \cr} $$