Olympic Race

Level pending

Every 4 years Olympic Games are held.The most watched sport in this is the 100m race.

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.


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