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What is the value of b + c ?

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Joined: 02 Dec 2012
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What is the value of b + c ? [#permalink]

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06 Dec 2012, 05:04
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What is the value of b + c ?

(1) ab + cd + ac + bd = 6
(2) a + d = 4
[Reveal] Spoiler: OA
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Joined: 02 Sep 2009
Posts: 39594
Re: What is the value of b + c ? [#permalink]

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06 Dec 2012, 05:10
What is the value of b + c ?

(1) ab + cd + ac + bd = 6 --> $$(ab+bd)+(cd+ac)=6$$ --> $$b(a+d)+c(a+d)=6$$ --> $$(a+d)(b+c)=6$$ --> if $$a+d=1$$, then $$b+c=6$$ but if $$a+d=6$$, then $$b+c=1$$. Not sufficient.

(2) a + d = 4. Nothing about $$b$$ and $$c$$. Not sufficient.

(1)+(2) From (1) we have that $$(a+d)(b+c)=6$$ and from (2) we have that $$a + d = 4$$, thus $$4(b+c)=6$$ --> $$b+c=1.5$$. Sufficient.

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Re: What is the value of b + c ? [#permalink]

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22 Jun 2015, 14:26
Hello from the GMAT Club BumpBot!

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Re: What is the value of b + c ? [#permalink]

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11 Aug 2016, 23:59
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
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Re: What is the value of b + c ?   [#permalink] 11 Aug 2016, 23:59
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