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# If xy ≠ 0, what is the value of 1/x + 1/y ?

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Math Expert
Joined: 02 Sep 2009
Posts: 53066
If xy ≠ 0, what is the value of 1/x + 1/y ?  [#permalink]

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11 Nov 2017, 08:42
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Difficulty:

25% (medium)

Question Stats:

77% (01:13) correct 23% (01:28) wrong based on 74 sessions

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If xy ≠ 0, what is the value of 1/x + 1/y ?

(1) 1/(x + y) = -1

(2) xy=6(x+y)

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Senior Manager
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Re: If xy ≠ 0, what is the value of 1/x + 1/y ?  [#permalink]

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11 Nov 2017, 08:47
1
B

The question can be rephrased as (x+y)/xy=?

1: we can conclude x+y=-1. Insufficient

2: we can rearrange to give (x+y)/xy=1/6. Sufficient

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If xy ≠ 0, what is the value of 1/x + 1/y ?  [#permalink]

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11 Nov 2017, 09:27
If xy ≠ 0, what is the value of 1/x + 1/y ?

(1) 1/(x + y) = -1

1/(x+y)=-1
=>1=-x-y
=>x+y = -1 (no enough information)
=> Insufficient

(2) xy=6(x+y)

1/x+1/y=(x+y)/xy
xy=6(x+y)
xy/(x+y)=6
=> sufficient

Intern
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Re: If xy ≠ 0, what is the value of 1/x + 1/y ?  [#permalink]

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11 Nov 2017, 10:26
If xy ≠ 0, what is the value of 1/x + 1/y ?

(1) 1/(x + y) = -1

(2) xy=6(x+y)

Statement 1 doesnt specify xy, hence; insuffucient
Statement 2:Rearranging gives (x+y)/xy=1/6, hence, sufficient
Re: If xy ≠ 0, what is the value of 1/x + 1/y ?   [#permalink] 11 Nov 2017, 10:26
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