The sum of two numbers is 66 and their HCF and LCM are 3 and 315 respectively. The sum of the reciprocals of the numbers will be :

Correct option is B

Given:

Sum of two numbers = 66

HCF = 3, LCM = 315

Formula Used:

Product of two numbers = HCF × LCM

Solution:

Sum of reciprocals = $$\frac{1}{a} + \frac{1}{b} = \frac{a + b}{ab}$$​​

ab = HCF × LCM = 3 × 315 = 945

a + b = 66

Now, Putting values;

​$$\frac{a + b}{ab} = \frac{66}{945} = \frac{22}{315}$$​​