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

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- Feb 28th 2006, 01:17 AMbharathleceit 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 - Feb 28th 2006, 02:12 AMticbolQuote:

Originally Posted by**bharathlece**

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. - Feb 28th 2006, 02:23 AMbharathlece
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

- Feb 28th 2006, 02:37 AMticbolQuote:

Originally Posted by**bharathlece**

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.) - Feb 28th 2006, 06:04 AMThePerfectHackerQuote:

Originally Posted by**bharathlece**

$\displaystyle A+B+C+D=17$

$\displaystyle D+E+F+G=17$

$\displaystyle G+H+I=17$

Add the equations to get,

$\displaystyle A+B+C+D+E+F+G+H+I+(D+G)=51$

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

$\displaystyle (1+2+3...+9)+(G+H)=51$

Thus,

$\displaystyle G+H=6$

Then in the third equation we have that $\displaystyle I=11$ which is a violation because it cannot be more then 9. - Feb 28th 2006, 07:33 AMtopsquarkQuote:

Originally Posted by**ThePerfectHacker**

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 - Feb 28th 2006, 07:44 AMThePerfectHackerQuote:

Originally Posted by**topsquark**

- Feb 28th 2006, 07:51 AMThePerfectHacker
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