Question: The sum and product of two numbers are 12 and 35, respectively. The sum of their reciprocals will be
Options:
A) $ \frac{1}{3} $
B) $ \frac{1}{5} $
C) $ \frac{12}{35} $
D) $ \frac{35}{12} $
Show Answer
Answer:
Correct Answer: C
Solution:
- Given, $ x+y=12 $ and $ x,y=35 $
$ \therefore $ $ \frac{1}{x}+\frac{1}{y}=\frac{x+y}{x,y}=\frac{12}{35} $