Question

the sum of two number is 60 and the sum of their reciprocal is 1 by 3 find the number​

Answer 1

Answer: One numer is 56.83 and the other number is 3.17

Step-by-step explanation:

Let one number be x.

therefore , another number = 60 - x

      (because sum of two numbers is 60)

also ,

      1/x + 1/60 - x  = 1/3 (Given)

  60 -x +x / x(60 -x) = 1/3

  60*3 = x(60 - x)

  180 = 60x - x²

or x² - 60x + 180 = 0

Now, we know x=(-b±√(b^2-4ac))/2a

x=(-60±√(60^2-4*1*180))/2

x=(-60±√(3600-720))/2

x=(-60±53.66)/2

x=(60+53.66)/2 and x=(60-53.66)/2

x=56.83 and x=3.17

hence one Number is 56.83.

and another number = 60-56.83=3.17 .