Question

If the sum of two numbers is 24 and their products is 108 then find the sum of their reciprocal?

​

Answer 1

Step-by-step explanation:

let the nos. be x and 24-x

given that :               (x)(24-x)= 108

                              24x - x² = 108

                               x² - 24x + 108 = 0

                               x² - (18 + 6)x + 108 = 0

                              x² - 18x - 6x + 108 = 0

                              x(x - 18) - 6(x - 18) = 0

                                (x - 18) (x - 6) = 0

                               x = 18 or x = 6

  if x = 18 then the no. will be 24

  if x = 6 then the no. will be  24

sum of reciprocal will be 4 + 2 = 6