We found this week’s puzzle in an old book and the author referred to it as “an old one of unknown origin”. If it was old and of unknown origin back then, we feel that it should be shared so that it’s not lost forever. And it’s an absolute beauty!
The problem is to solve the following cryptarithm or alphametic, where each letter represents a digit 0-9.
$$ EVE / DID = .TALKTALK... $$
Neither EVE nor DID has a leading zero, and EVE / DID has been reduced to its lowest terms. The result of the division is a recurring decimal with a repeating pattern of four digits.
There is one unique solution.
Answer and explanation at 9.00 on Monday.