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



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