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.55/601
B.601/55
C.11/120
D.120/11

Answer 1

Answer:

c. 11/120

Step-by-step explanation:

let the numbers be x and y

⇒ x + y = 55

⇒ and hcf * lcm= x * y

⇒ required equation i.e. reciprocals of the numbers is:

⇒1/x + 1/y

= x+y/xy         (by taking lcm)

= 55/600

= 11/120

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