No. 11

[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.

Pls visit New Puzzles section to see always fresh brain teasers.

No. 11 - solution

5795 + 6435 + 2505 = 14735

or

5305 + 2475 + 6595 = 14375

[Guest]

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.

[Guest]

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

[Guest]

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

[Guest]

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 December 15, 2009 by Swaminathan