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
