Question

If the sum of two numbers is 150, and the product is 45, then what is the sum of their reciprocals?

• A. 1/150
• B. 3/10
• C. 1/75
• D. 10/3

Answer 1

Answer:

D. 10/3

let the two numbers be a and b

$a+b = 150$

$ab= 45$

$\frac{1}{a} + \frac{1}{b}=\frac{a+b}{ab}$

$\frac{1}{a} + \frac{1}{b}=\frac{150}{45}=\frac{10}{3}$