Question

The sum of two numbers is 55and their H.C.F. and L.C.M. are 5 and 120 respectively, then, find the sum of the reciprocals of the numbers.

Answer 1

Answer:

Hello friend

Step-by-step explanation:

The answer for this question is

11/120

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Answer 2

Step-by-step explanation:

let one no. is x then other no. is 55-x and we know that product of two no. =HCF×LCM so x(55-x)=120×5, 55x-x2=120×5 =>x2-55x+120×5=0 =>x2-40x-15x+120×5 =>x(x-40)-15(x-40)=0 =>x=15,40 and sum of their reciprocal is 11/120