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What is the value of 1/x + 1/y ? (1) x + y = 14 (2) xy = 24

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Joined: 02 Sep 2009
Posts: 49915
What is the value of 1/x + 1/y ? (1) x + y = 14 (2) xy = 24  [#permalink]

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New post 23 Sep 2018, 21:33
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

92% (00:20) correct 8% (00:44) wrong based on 24 sessions

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Intern
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Joined: 15 Feb 2018
Posts: 22
Re: What is the value of 1/x + 1/y ? (1) x + y = 14 (2) xy = 24  [#permalink]

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New post 23 Sep 2018, 21:46
1
Fact 1- Insufficient
Fact 2- Insufficient

Combine:

x+y=14
xy=24

Substituting values

x(14-x)=24
14x-x^2+24
x^2-14x+24==
we get 2 values of x
x=2 or x=12
so, y=12 or y=2 (as x+y=14)

Either way, 1/2 + 1/12 = 7/12

So answer should be C
_________________

+1 Kudos if this helped :)

Intern
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Re: What is the value of 1/x + 1/y ? (1) x + y = 14 (2) xy = 24  [#permalink]

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New post 23 Sep 2018, 22:17
Further to Shreyaswahney, can we just plug in the numbers with Option C?
The question asks: 1/x+1/y => x+y/xy?
info from 1 and 2= 14/24= 7/12.
GMAT Club Bot
Re: What is the value of 1/x + 1/y ? (1) x + y = 14 (2) xy = 24 &nbs [#permalink] 23 Sep 2018, 22:17
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What is the value of 1/x + 1/y ? (1) x + y = 14 (2) xy = 24

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