Thread: it is really imp plz solve

A+B+C+D=D+E+F+G=G+H+I=17 where each letter represent a number from 1 to 9. Find
out what does letter D and G represent if letter A=4

Originally Posted by bharathlece

A+B+C+D=D+E+F+G=G+H+I=17 where each letter represent a number from 1 to 9. Find
out what does letter D and G represent if letter A=4

Let me just answer the title.

No, it is not impossible to solve. But the solution reqiures too much trial and error, too much reliance on chance. A computer can easily get the answer, but a person,....

Also, the puzzle is like the game of sudoku. I hate sudoku. Too much trial and error.

hey , man this is the most common asked question in indian puzzle talent show dnt say that u hate some or u like some . give me replay if u got the answer dnt give me some other xyz replay about which u like and which u dnt like . dnt waste ur time by giving replay nor dnt waste my time in reading them. if it hurt u u deserves it coz ur giving replay like dat to me

Originally Posted by bharathlece

hey , man this is the most common asked question in indian puzzle talent show dnt say that u hate some or u like some . give me replay if u got the answer dnt give me some other xyz replay about which u like and which u dnt like . dnt waste ur time by giving replay nor dnt waste my time in reading them. if it hurt u u deserves it coz ur giving replay like dat to me

Umm, okay, so you have no sense of humor. I can play that.

If that is common in your place, how come you cannot solve it?

I never was hurt. I was just teasing you.

And I hate sudoku.

And you have to waste your time reading this.

And your English is worse than mine.

(Moderators, I know you have senses of humor.)

Originally Posted by bharathlece

A+B+C+D=D+E+F+G=G+H+I=17 where each letter represent a number from 1 to 9. Find
out what does letter D and G represent if letter A=4

The solution is impossible to get, since you have,



Add the equations to get,

But these letters are the numbers 1,2,...,9 in some order thus,

Thus,

Then in the third equation we have that which is a violation because it cannot be more then 9.

Originally Posted by ThePerfectHacker

The solution is impossible to get, since you have,



Add the equations to get,

But these letters are the numbers 1,2,...,9 in some order thus,

Thus,

Then in the third equation we have that which is a violation because it cannot be more then 9.

Perhaps the A, B, ..., I aren't all distinct? He didn't actually say that they were, but that was my first inclination as well.

Still, we have 4 conditions on 9 variables (counting the condition that all A, B,..., I are between 0 and 10 as a condition). I don't see how to solve it uniquely.

-Dan

Originally Posted by topsquark

Perhaps the A, B, ..., I aren't all distinct? He didn't actually say that they were, but that was my first inclination as well.

Still, we have 4 conditions on 9 variables (counting the condition that all A, B,..., I are between 0 and 10 as a condition). I don't see how to solve it uniquely.

-Dan

Linear Algebra does not work here. Because we assume the elements are in some field. The integers do not form a field. Thus, the fact that there are 3 equations and 9 variables does not mean we cannot have a unique solution.

Further, they if they are not distinct then it solves easily for example,
A=4
B=1
C=3
D=9
E=1
F=1
G=6
H=2
I=9