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# Algebra Puzzles

4 replies to this topic

### #1 pavvi

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Posted 13 December 2007 - 07:04 PM

ABCDEF*6=ABCDEF find ABCDEF if A=1.
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### #2 spoxjox

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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.
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### #3 bonanova

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Posted 14 December 2007 - 06:54 AM

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

If A=1 then ABCDEF = BCDEF
Spoiler for solution

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

### #4 spoxjox

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Posted 14 December 2007 - 07:27 PM

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

If A=1 then ABCDEF = BCDEF
Spoiler 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.
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### #5 bonanova

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Posted 15 December 2007 - 08:05 AM

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

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