Question

the sum of two positive number is 17 and their product is 60. Find the sum of their reciprocals

Answer 1

let the numbers be x and y
then,
      x + y =17
      xy = 60

$\frac{1}{x} + \frac{1}{y} \frac{y+x}{xy} \frac{17}{60}$

Answer 2

let the numbers be x and y
then,
a + b =17
ab = 60 

1/a + 1/b =  a+b / ab  = 17 /60 is the answer