A number theory problem by Sriram Pknss

Number Theory Level pending

In a 2014 digit number sum of digits is 'a' , sum of digits in 'a' is 'b' , The process is continued till we get a single digit 'x' , another 4102 digit number whose sum of digits is obtained the manner as above is 'y' ... if the big numbers (2014 digit and 4102 digit ) are added the sum of digits obtained as process mentioned is again 'x' ... what is value of 'y' ? ?

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