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# What is the value of 1/x + 1/y + 1/z ?

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Math Expert
Joined: 02 Sep 2009
Posts: 51301
What is the value of 1/x + 1/y + 1/z ?  [#permalink]

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20 Feb 2018, 22:26
00:00

Difficulty:

25% (medium)

Question Stats:

91% (00:48) correct 9% (01:49) wrong based on 50 sessions

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What is the value of $$\frac{1}{x} + \frac{1}{y} + \frac{1}{z}$$ ?

(1) $$\frac{xy + xz + yz}{xyz}= 4$$

(2) $$x + y=3$$

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Re: What is the value of 1/x + 1/y + 1/z ?  [#permalink]

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20 Feb 2018, 22:31
A

Statement 1 directly gives the answer. Sufficient

From statement 2 we don’t know the value of z. Insufficient

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Re: What is the value of 1/x + 1/y + 1/z ?  [#permalink]

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21 Feb 2018, 22:46
Bunuel wrote:
What is the value of $$\frac{1}{x} + \frac{1}{y} + \frac{1}{z}$$ ?

(1) $$\frac{xy + xz + yz}{xyz}= 4$$

(2) $$x + y=3$$

A is sufficient as if we try to solve question as much as possible then we will form equation same as A whereas B is insufficient as it will only take us to 3Z+XY/XYZ
Re: What is the value of 1/x + 1/y + 1/z ? &nbs [#permalink] 21 Feb 2018, 22:46
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