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number sum equals all digit sum (Posted on 2021-01-13) Difficulty: 4 of 5
Show that one can find 50 distinct positive integers such that the sum of each number and its digits is the same.

No Solution Yet Submitted by Danish Ahmed Khan    
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thoughts | Comment 1 of 2
If I understand the problem correctly, we are looking for sets of numbers that when each is added to its individual digits, a number
results that is the same number for all members of the set. For example, consider the pair: 92 and 101. Or consider the pair: 9900035 and 9899999. 

I am thinking such numbers come in pairs only. 


  Posted by Steven Lord on 2021-01-13 22:34:11
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