If the sum of two numbers is 72 and the H.C.F. and L.C.M. of these numbers are 6 and 60 respectively, then the sum of the reciprocals of the numbers is equal to:
Let the numbers be a and b.
Then, a + b = 72 and ab = 6 x 60 = 360.
The required sum = 1/a + 1/b
= (a + b)/ab
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