perplexus.info :: Numbers : Digital Sum 11

Digital Sum 11 (Posted on 2008-12-08)

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.

Submitted by Brian Smith

Rating: 3.0000 (3 votes)

Solution: (Hide)

2,899,999 -> 55
2,900,000 -> 11

K Sengupta and Charlie both provide solutions in the comments.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Puzzle Solution	K Sengupta	2009-01-28 11:41:28
brute force solution	Moira	2009-01-21 22:58:24
Answer	K Sengupta	2009-01-05 13:48:55
solution	Charlie	2008-12-08 14:09:27
An educated guess (spoiler?)	Steve Herman	2008-12-08 13:28:13

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