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 BRIAN = LINDA = LEVIK = CORAL (Posted on 2006-12-08)
Can you find a five-figure number, with distinct digits between 1 and 9, which satisfies all of the following encoded equations?

BRIAN x 2 = CONGA
LINDA x 3 = NAILER
LEVIK x 4 = VARIED
CORAL x 6 = NESTED

Repeated letters within an equation indicate the replication of digits. However, the same letter in different equations does not necessarily refer to the same digit.

 Submitted by Josie Faulkner Rating: 4.3750 (8 votes) Solution: (Hide) The options are as follows. BRIAN x 2 = CONGA 13489 x 2 = 26978 15489 x 2 = 30978 16489 x 2 = 32978 17642 x 2 = 35284 31489 x 2 = 62978 35142 x 2 = 70284 35642 x 2 = 71284 45163 x 2 = 90326 LINDA x 3 = NAILER 45163 x 3 = 135489 70261 x 3 = 210783 LEVIK x 4 = VARIED 45163 x 4 = 180652 89324 x 4 = 357296 CORAL x 6 = NESTED 26309 x 6 = 157854 28945 x 6 = 173670 30947 x 6 = 185682 45163 x 6 = 270978 46513 x 6 = 279078 Although the rubric of the puzzle excludes zeroes from the five-figure number, I have included them in the solution, merely for reference. In conclusion, therefore, the only number which satisfies all equations is 45163.

 Subject Author Date re(3): the programmatic way Josie Faulkner 2006-12-09 03:40:16 re(2): the programmatic way Charlie 2006-12-08 23:38:55 re: the programmatic way Josie Faulkner 2006-12-08 18:57:20 re: Solution ala verbose Josie Faulkner 2006-12-08 18:53:25 re: Busy Busy Busy [spoiler] Josie Faulkner 2006-12-08 18:49:28 Busy Busy Busy [spoiler] Vernon Lewis 2006-12-08 15:50:41 the programmatic way Charlie 2006-12-08 11:02:45 Solution ala verbose Leming 2006-12-08 10:08:45

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