SOLUTION: Q: The product of two terms is 39 and their difference is 28. Find the difference of their reciprocals.

Let x be the greater of the two numbers and y be the smaller of them.


We are given


    xy = 39,       (1)
    x - y = 28.    (2)


They ask about  .  It is


 =  = replace the numerator and denominator by (2) and (1) respectively to get = .


It is your 


Answer.   = .