Question

the sum of two numbers is 55and the HCF and LCM of these numbers are 5 and 120 respectively then find the sum of the recipocals of the number​

Answer 1

Answer:

Let the numbers be a and b.

Then, a + b = 55 and ab = 5 x 120 = 600.

The required sum =

$\frac{1}{a} + \frac{1}{b} = \frac{a + b}{ab} = \frac{55}{600 } = \frac{11}{120}$