The digital product P(N) of an integer N is the product of its decimal digits.

For example, P(128)=16.

Find all sets of three positive integers A, B and C such that:
A = P(B)+P(C)
B = P(A)+P(C)
C = P(A)+P(B).

(In reply to re: Computer solution by Charlie)

Ah!  You are correct.  I have corrected my earlier post.

Posted by Larry on 2023-09-06 05:38:31