Two consecutive numbers both have a digital sum which is a multiple of 11. What is the smallest pair of numbers?

Note: the digital sum is the number equalling the sum of all the digits of the number. For example the digital sum of 123456 is 21.

The required pair of consecutive numbers is  (2899999, 2900000)

Edited on January 5, 2009, 1:57 pm

Posted by K Sengupta on 2009-01-05 13:48:55