Answer:
1/2
Step-by-step explanation:
Let the two numbers be [tex]a[/tex] and [tex]b.[/tex]
We already know that [tex]a\neq 0[/tex] and [tex]b\neq 0[/tex].
Write an equation:
[tex]ab=2(a+b)[/tex]
The product (ab) is equal to twice the sum (2(a+b)).
Now, write an equation for the sum of their reciprocals:
[tex]S=\frac{1}{a}+\frac{1}{b} =\frac{a+b}{ab}[/tex].
Rewrite the denominator:
[tex]=\frac{a+b}{2(a+b)} =1/2[/tex]
[tex]S=\frac{1}{a}+\frac{1}{b}=1/2[/tex]
