Question

The sum of two non-zero numbers is 8. The minimum value of the sum of their reciprocals is

Answer 1

numbers                                            Sum of Reciprocals

1 + 7  or 7 +1                                1/1 + 1/7 = (7+1)/7 = 8/7 = 1  1/7

2 + 6  or 6 +2                               1/2 + 1/6 = (3+1)/6 = 4/6 = 2/3

3 + 5  or  5 + 3                             1/3 + 1/5  = (5 +3)/15 = 8/15

4 + 4                                              1/4  + 1/4 = 2/4  = 1/2

I don't know which one you need since you didn't mentioned any number or any relation between numbers. So all these answers