Question

F 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:

Answer 1

Factors of 120  = 5 x 5 x 2 x 2 x 3

Both numbers should have one 5 as common factor. There are three  2 . It should come only for one number since there is no common factor other than 5

5 x  3 =15

5  x 8 = 40

15 + 40 = 55

Numbers are 15, 40