Question

The sum of two no. is 16 and the sum of their reciprocal is 1upon find the no.

Answer 1

Answers:

    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 .

Hope this helps you!!