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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.

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

computer solution

| Comment 1 of 2

clc, clearvars

for a=1:2025

sa=sod(a);

for b=a:2025

sb=sod(b);

for c=sa*sb

if c>=b

sc=sod(c);

if sb*sc==a

if sa*sc==b

disp([a b c])

end

finds

1 1 1

64 80 80

81 81 81

Posted by Charlie on 2023-10-15 10:14:32

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