Bob Marley Cryptogram

Logic Level 3

$\large{\begin{array}{ccccccc} && & & & B & O&B\\ \times && & & & B & O&B\\ \hline & & M& A & R& L & E&Y\\ \end{array}}$

For the above cryptogram, each letter represent a distinct non-negative single digit integer, find the smallest possible value of the 6-digit integer, $\overline{MARLEY}$ .

The answer is 124609.

1 solution

Tran Hieu
Feb 18, 2016

We have $\sqrt{123456} = 351$ , so we try with smallest number that have the form BOB, which is 353, and we have the number $\boxed{124609}$ , which has 6 distinct digits and different from 3,5 and thus the result.

Digging further to prove that is the only solution and I failed, because 929*929 = $\boxed{863041}$ which is also ok.

Bob Marley Cryptogram

The answer is 124609.

1 solution

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