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 fivefigure
number, I have included them in the solution, merely for reference.
In conclusion, therefore, the only number which satisfies all equations
is 45163.
