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, find the sum of the reciprocals of the numbers.

Asked by Topperlearning User | 13th May, 2014, 03:34: PM

Expert Answer:

Let the numbers be a and b.

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

Therefore, the required sum =

Answered by  | 13th May, 2014, 05:34: PM