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# An operation P is defined by the equation aPb = a-b/a+b, for

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Intern
Joined: 23 May 2008
Posts: 47
An operation P is defined by the equation aPb = a-b/a+b, for  [#permalink]

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15 Sep 2008, 16:08
An operation P is defined by the equation aPb = a-b/a+b, for all numbers a and b such that a is not equal to -b. If a is not equal to -c and aPc = 0, then c = ???

I couldn't even figure out what the question was asking so if someone could also explain it in english then solve that would be great! Thanks. (OG)

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Manager
Joined: 11 Apr 2008
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15 Sep 2008, 16:15
aPb=a-b/a+b
similarly aPc=a-c/a+c=0
a-c=0
a=c
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Joined: 17 Jun 2008
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18 Sep 2008, 00:33
snowbirdskier wrote:
An operation P is defined by the equation aPb = a-b/a+b, for all numbers a and b such that a is not equal to -b. If a is not equal to -c and aPc = 0, then c = ???

I couldn't even figure out what the question was asking so if someone could also explain it in english then solve that would be great! Thanks. (OG)

Basically, the question is telling that the denominator (a+b) or (a+c) is not zero. That means, the numerator can be zero. Otherwise, if denominator is zero then that fraction is undefined.

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: Algebraic Expressions &nbs [#permalink] 18 Sep 2008, 00:33
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# An operation P is defined by the equation aPb = a-b/a+b, for

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