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Replace the same characters by the same numerals so that the mathematical operations are correct.

ALFA + BETA + GAMA = DELTA

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No. 11 - solution

5795 + 6435 + 2505 = 14735

or

5305 + 2475 + 6595 = 14375

Share on other sites 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.

Share on other sites 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

Share on other sites 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

Share on other sites 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

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