4 replies to this topic

[rookie1ja]

No. 11 - Back to the Cryptograms and Algebra Puzzles
Replace the same characters by the same numerals so that the mathematical operations are correct.
ALFA + BETA + GAMA = DELTA

This old topic is locked since solution is already provided in the Spoiler below.
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Spoiler for Solution

No. 11 - solution
5795 + 6435 + 2505 = 14735
or
5305 + 2475 + 6595 = 14375

[cfm375]

Hey this was a fun puzzle... but I thought that i should let you know that there are actually 24 possible solutions to this problem. I can explain how all the solutions are possible if you'd like... It was fun to figure out.

[Thom]

There are lots of solutions for this problem. The only thing that is fixed is that E=4, A=5
F+M must equal to nine so (F,M) can be from the set (0,9)(1,8)(2,7)(3,6)(4,5)(5,4)(6,3)(9,0)
T can be any digit from 0-9
L can be any digit from 0-9
D can be either 1 or 2
if D=2 then B=G=9
if D=1 then (B,G) can be any combination from the set (0,8)(2,6)(3,5)(4,4)(5,3)(6,2)(8,0)

By following these rules you can simply select random pieces and they are solutions to ALFA+BETA+GAMA=DELTA

[flame13]

i have
D=1, A=5, E=4
and
B-G=(2;6) or (6;2)
F-M=(0;9) or (9;0)
L-T=(3;7) or (7;3)
Ex:
F=0 T=3 M=9 L=7 B=2 G=6
ALFA+BETA+GAMA=DELTA --> 5705+2435+6595=14735

[Swaminathan]

I have got 3 solution, I think we can get many

Solution 1
A 0
B 0
D 1
E 1
F 2
G 1
L 0
M 8
T 0

ALFA 20
BETA 100
GAMMA 10880

DELTA 11000

Soultion 2
A 5
B 2
D 3
E 3
F 3
G 2
L 0
M 6
T 0

ALFA 5035
BETA 2305
GAMMA 25665

DELTA 33005


Solution 3
A 0
B 2
D 2
E 3
F 4
G 2
L 0
M 6
T 0
ALFA 40
BETA 2300
GAMMA 20660

DELTA 23000

Edited by Swaminathan, 15 December 2009 - 04:23 PM.