Circle C has radius 4, and AB is a diameter of C. Two circles of radius 1 are each internally tangent to C and are tangent to AB at distinct points P and Q. Compute PQ.
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