# If the sum of two numbers is 55 and the H.C.F. and L.C.M. of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to ?

If the sum of two numbers is 55 and the H.C.F. and L.C.M. of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to ?

A. 11/120

B. 55/501

C. 11/60

D. 12/55

**Answer : **A. 11/120

## Explanation:

Let the numbers be a and b.

Thus a + b = 55 and ab = 5 x 120 = 600

Thus 1/a + 1/b

= (b + a)/(ab)

= 55/600

= 11/120