Substitute each of the capital letters by a different base ten digit from 0 to 9 to satisfy this set of alphametic relationships. None of the numbers can contain any leading zero.

(RATTLE)/(LETTRA) = 64/37, and:

AT is a prime number.

Ans: 497728/287749  AT=97

It was clear to me that ra/le ratio should be close to 64/37,

thus limiting the range of possiible contenders .

64/37 is close to 63/36=7/4=14/8=21/12  etc

So after few numbers I've  reached 49/28  and AT being prime the solution was imminent.

Posted by Ady TZIDON on 2010-02-21 13:01:52