Today is 127th birthday of our beloved mathematician Srinivasa Ramanujam Iyenger.
To celebrate his birthday I would like to pose a puzzle to all the readers and urge you to solve it in your head, as Ramaujam did!!
In a certain street, there are more than fifty but less than five hundred houses in a row, numbered from 1, 2, 3 etc. consecutively. There is a house in the street, the sum of all the house numbers on the left side of which is equal to the sum of all house numbers on its right side. Find the number of this house.
[Hint: Ramanujam used concept of continued fractions]