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Integers and their sums of digits (Posted on 2017-03-13) Difficulty: 2 of 5
Find all solutions of the system
s(x) + s(y) = x
x + y + s(z) = z
s(x) + s(y) + s(z) = y − 4,
where x, y and z are positive integers, and each of s(x), s(y) and s(z) denotes the sum of digits of x, y and z, respectively, in decimal notation.

No Solution Yet Submitted by Ady TZIDON    
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Hints/Tips hint | Comment 1 of 3

Consider the possible orders of magnitude of the integers involved.

 


  Posted by Ady TZIDON on 2017-03-18 13:47:14
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