Let one number be x.
therefore , another number = 16 - x        (because sum of two numbers is 16)
also ,
1/x + 1/16 - x = 1/3 (Given)
(16 -x +x) / x(16 -x) = 1/3
   16*3 = x(16 - x)
   48 = 16x - x²
or x² - 16x + 48 = 0
or x² - 12x - 4x + 48 =0
x(x-12) -4(x-12) =0
x-4 = 0 or x-12 =0
x=4 or x=12
hence one Number is 4 .
and another number = 16 - x =16 - 4 = 12 .

3Thank You

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