Question

The sum of two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers?

• A. $\frac{12}{35}$
• B. $\frac{1}{35}$
• C. $\frac{35}{8}$
• D. $\frac{7}{32}$

Answer 1

The correct option is A $\frac{12}{35}$

Sum of two numbers = $12$

$x+y=12$

product of two numbers = $35$

$xy=35$

Sum of reciprocals = $\frac{1}{x}+\frac{1}{y}=\frac{x+y}{xy}$

$=\frac{12}{35}$

A is correct.