Olympic RaceLevel pending
One year three racers participated for the 100m final. Before the race the chances of three runners, A, B, C were estimated to be proportional to 5, 3, 2; but during the race A meets an accident which reducec his chance to one-third. The respective chances of B and C are now 'b' and 'c' respectively. If b+c = x/y , where x and y are co-prime.
Then what is the value of x + y.
NOTE: I know that only 3 cannot participate bu let us suppose.