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On the solutions of an equation.

                                                       Kunal A. Borse      I will start with a little anecdote from the life of mathematician Srinivasa Ramanujan. Once a friend visited him, while Ramanujan was cooking in his kitchen. His friend was solving a puzzle from the 'Strand' magazine, but he just could not crack it. So he read it out to Ramanujan. The puzzle goes as follows-    'Find the numbers x and y, given that                              1+2+3+......+(x-1)+x=x+(x+1)+.....+y and 50<y<500.'   Much to his friend's amusement, Ramanujan, still busy with his cooking, answered correctly within a moment. "The value of y must be 288 while that of x must be 204,'' ...