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© Copyright 1999, Jim Loy
This is a puzzle that I just made up. Find the only solution to ABCD x E=DCBA. Each letter represents a different digit (ABCD is a 4-digit number (implying that A is not zero)).
Incidentally, these two puzzles have no solutions: AB x C=BA and ABC x D=CBA. Puzzles like these are sometimes called cryptarithms, and are similar to Word Arithmetics.