ABCDEF*6=ABCDEF find ABCDEF if A=1.

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# Algebra Puzzles

Started by pavvi, Dec 13 2007 07:04 PM

4 replies to this topic

### #1

Posted 13 December 2007 - 07:04 PM

### #2

Posted 13 December 2007 - 07:37 PM

ABCDEF*6=ABCDEF find ABCDEF if A=1.

No solution. x*6 = x only for x=0, which is impossible in your situation above.

### #3

Posted 14 December 2007 - 06:54 AM

ABCDEF*6=ABCDEF find ABCDEF if A=1.

If A=1 then ABCDEF = BCDEF

Spoiler for solution

*The greatest challenge to any thinker is stating the problem in a way that will allow a solution.*

- Bertrand Russell

### #4

Posted 14 December 2007 - 07:27 PM

ABCDEF*6=ABCDEF find ABCDEF if A=1.

If A=1 then ABCDEF = BCDEFSpoiler for solution

We understand the puzzle differently. I interpreted ABCDEF as representing a six-digit number, each digit represented by a letter. In that case, no solution is possible. You seem to have understood ABCDEF to mean A * BCDEF, in which case the only solution is for BCDEF to be zero.

### #5

Posted 15 December 2007 - 08:05 AM

So ...

**pavvi**, what's the answer?*The greatest challenge to any thinker is stating the problem in a way that will allow a solution.*

- Bertrand Russell

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