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Digital Sum Triples (Posted on 2023-10-15)

The digital sum S(N) of an integer N is the sum of its decimal digits. So S(128)=11.

Three positive integers A, B and C such that A = S(B)S(C), B = S(A)S(C), and C = S(A)S(B) are called a digital sum triple, for example A=B=C=81.

Find all such triples.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

A B C 1 1 1 64 80 80 81 81 81
For an explanation, refer to:
The solution submitted by Charlie in this location.
The solution submitted by Larry in this location.

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

Subject	Author	Date
Solution some analytic then computer	Larry	2023-10-15 10:18:33
computer solution	Charlie	2023-10-15 10:14:32

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