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Two Digit Integers (Posted on 2006-07-14) Difficulty: 4 of 5
Find all possible two digit positive integers N for which the sum of digits of 10N - N is divisible by 170.

See The Solution Submitted by K Sengupta    
Rating: 3.0000 (2 votes)

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Solution Solution | Comment 3 of 11 |

20, 39, 58, 77, 96

All two-digit numbers that satisfy the problem are 20 + k*19, where k is any integer between 0 and 4, inclusively.
( 19 * 9  - 1) = 170

It it true, Ady, I should better phrase what I mean to express. And it is true, the satisfying equation can be written, x = k*19 + 1, such that  k is an integer, inclusively, between 0 and 4, and x is a number that will satisfy the given conditon.

Edited on July 15, 2006, 12:40 pm
  Posted by Dej Mar on 2006-07-14 13:36:07

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