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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: Correct Answer 11\/120

Let the numbers be a and b.

 

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

 

The required sum =1a+1b = a+bab= 55600=11120

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