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Answer:

Step-by-step explanation:

let the no. be x,y

x+y = 60 ....i

and the sum of their reciprocals .i.e

1/x + 1/y = 1/13

x+y/xy = 1/13

13(x + y) = xy

13(60) = xy

xy = 780

x = 60 - y

(60 - y)y = 780

-y^2 +60y - 780 = 0

y^2 - 60y + 780 = 0

By Quadratic Formula,

a = 1, b = -60 , c = 780

y = 60 ± √3600 -3120 / 2

y = 60 ± 22/2

y = 82/2 = 41

x = 60 - 41 = 19

or

y = 60 - 22/2

y = 19

x = 60 - 19 = 41

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