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Puzzle 8: Algebra

July 10, 2026

1,  ABCD × E = DCBA
(Replace letters with digits and have the answer be true. A,B,C,D and E are all different digits.)


2.  What 5-digit number has the following features:

If we place an extra numeral 1 at the beginning, we get a number three times smaller than if we put that numeral 1 at the end of the number.


3.  The hour and minute hands are at equal distance from the 6 hour, what time will it be exactly?
The hour and minute hands are at equal distance from the 6 hour, what time will it be exactly?

4.  Solve this:
ALFA + BETA + GAMA = DELTA
Replace letters with digits and have the sum be true. There is more than one solution.

5. Solve the following (each letter is a separate digit):
(L+O+G+I+C)3 = LOGIC

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