Can you find one five figure number, with distinct digits between 1 and 9, which satisfies all four of the following equations?
SNAKE * 2 = MERES
COYPU * 8 = POODLE
TIGER * 13 = BEWAIL
OKAPI * 14 = HIJACK
Repeated letters within an equation refer to the same digit. The same letter appearing in different equations does not necessarily refer to the same digit.
The puzzle can be solved from just two equations. The other two are for fun/reference.
This is similar to Can't see the wood for the trees
The five figure number is 48537.
(Not all products are composed of the digits 1 to 9, as the R in MERES and the W in BEWAIL use the digit 0, but this limitation seems to have been limited to the factors).
SNAKE * 2 = MERES
48537 * 2 = 97074
COYPU * 8 = POODLE
48537 * 8 = 388296
TIGER * 13 = BEWAIL
48537 * 13 = 630981
OKAPI * 14 = HIJACK
48537 * 14 = 679518
As I had done with "Can't see the wood for the trees", I submit a few more "animal magic" equations:
TARIN * 3 = STRESS
48537 * 3 = 145611
(tarin  a small yellow singing bird with an ash colored head)
TENCH * 4 = ASTATE
48537 * 4 = 194148
(tench  a freshwater dacelike game fish)
BISON * 5 = ABACUS
48537 * 5 = 242695
(bison  a humpbacked shaggyhaired wild ox)
CONEY * 11 = NEEDLY
48537 * 11 = 533907
(coney  a rabbit; also, a blackspotted fish with reddish fins)
48537 is a composite of the factors 3^{2} and 5393, so we can also venture into the product of fractions:
MOUSE * 1/3 = PIPER
48537 * 1/3 = 16179
ANGUS * 1/9 = GURU
48537 * 1/9 = 5393
Edited on March 22, 2008, 6:47 am

Posted by Dej Mar
on 20080322 01:33:31 