Find a pair of two consecutive integers, such that the s.o.d. of each of them is a multiple of 49. i.e. SOD(N)=K*49 & SOD(N+1)=L*49: (K,L integers)

Rem1: S.o.d. of a number is the sum of said number's digits.
Rem2: Only the smallest values requested.

(In reply to Solution by hoodat)

The solution looks to be a pretty nive one.My question is that is there any analytical solution to it.I tried a lot but I was not bble to give  a convincing solution to this puzzle.

Posted by Danish Ahmed Khan on 2012-10-27 06:26:15