x and y are two integers such that 1<x<y and x+y<100. A person P knows the value of xy, while another person S knows that of x+y. They have the following conversation between them:

P: I can't find the numbers.

S: I knew you couldn't find them.

P: Thanks man, Now I can determine them.

S: So can I.

 

  WHAT ARE THE NUMBERS?

 

Well, the solution to this problem involves some lengthy calculations and computer assistance may be required. So, I am not asking for the solution. Just devise a way how to proceed.

_______________________________________________________________

 

 

A coin is tossed repeatedly until either 5 heads or 5 tails have appeared. If n is the number of ways this can be done, then the divisors of n is:

a)6    b)12    c)18   d)20