The sum of two numbers is 24 and their product is 120. What is the sum of their reciprocals?

Let the number be X and y
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Let the number be x and y
x+y=24,or y=24-x..(1)
Xy=120,or y=120/x..(2) equate (1) and (2)
Equate (1) and (2)
24-x=120/x,or
x^2-24x+120= 0
x1=[24+9.7]/2
=16.8 and y2=7.1
x2=[24-(576-480)^0.5]/2
=7.1 and y2= 16.8
The sum of the reciprocals=1/16.8+1/7.1
=1/5 or 0.5
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