perplexus.info :: Word Problems : A repunit product

A repunit product (Posted on 2017-08-19)

TOP*SPA=(a 6-digit number)

There are numerous valid words yielding valid solutions,
but only one product consists of a chain of the same digit repeated 6 times!

This is the one we want!

Use of software not recommended, it is easily solvable by logical deduction.

No Solution Yet Submitted by Ady TZIDON

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Puzzle Answer

Comment 5 of 5 |

The puzzle text asks for:

TOP* SPA = A non zero repdigit number having precisely 6 digits

There are precisely two solutions, and these are;

T O P S P A

4 0 7 2 7 3

8 1 4 5 4 6

since, 407*273 = 111,111

and, 814*546 = 444,444

*** I will try my best to come up with an analytical explanation of my own.

Edited on June 26, 2022, 11:49 pm

Posted by K Sengupta on 2022-06-26 23:47:20

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