Question

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) 13/125
B) 14/57
C) 11/120
D) 16/41

Answer 1

Q:

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) 13/125
B) 14/57
C) 11/120
D) 16/41

Answer:   C) 11/120 

Explanation:

Let the numbers be a and b.

We know that product of two numbers =

Product of their HCF and LCM

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

=> The required sum = (1/a) + (1/b) = (a+b)/ab

=55/600 = 11/120

Answer 2

Heyy mate ❤✌✌❤

Here's your Answer. ..

Let the numbers be a and b.
We know that product of two numbers = Product of their HCF and LCM

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

=> The required sum = (1/a) + (1/b) = (a+b)/ab
=55/600 = 11/120.
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