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# If (x+5)/(1/x + 1/5) = 5, then x =

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Math Expert
Joined: 02 Sep 2009
Posts: 64096
If (x+5)/(1/x + 1/5) = 5, then x =  [#permalink]

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Updated on: 23 Jul 2019, 05:28
00:00

Difficulty:

15% (low)

Question Stats:

83% (00:55) correct 17% (01:48) wrong based on 42 sessions

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If $$\frac{(x+5)}{(\frac{1}{x}+\frac{1}{5})}=5$$, then x=

A. -5

B. $$\frac{1}{2}$$

C. 1

D. 5

E. 10

Source: Nova GMAT
Difficulty Level: 600

_________________

Originally posted by Bunuel on 07 Apr 2019, 20:57.
Last edited by SajjadAhmad on 23 Jul 2019, 05:28, edited 1 time in total.
Intern
Joined: 11 Jul 2018
Posts: 15
GMAT 1: 630 Q47 V29
Re: If (x+5)/(1/x + 1/5) = 5, then x =  [#permalink]

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07 Apr 2019, 21:02
Bunuel wrote:
If $$\frac{(x+5)}{(\frac{1}{x}+\frac{1}{5})}=5$$, then x=

A. -5

B. $$\frac{1}{2}$$

C. 1

D. 5

E. 10

(x+5)/[(5+x)/5x]=5
=>5x=5
=>x=1
Option (C)
Intern
Joined: 07 May 2016
Posts: 10
Re: If (x+5)/(1/x + 1/5) = 5, then x =  [#permalink]

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07 Apr 2019, 21:26
Other way of solving the above problem is plucking in the value B and D from the answer choice and if you see the answer choices are in increasing order..that is -5<1/2<1<5<10. So always try to answer this type of questions by applying value in the B option and D option. When you apply B option which is 1/2.. you get 5.5/2.2 which is 2.5.... let apply Option D. You get 10/(2/5) which is 25
So answer choices should be between them hence Option C is the answer. Since this not so difficult question you can solve it by traditional method but when it comes to difficult question..inserting answer choices in the questions will be helpful

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Location: India
Concentration: Sustainability, Marketing
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WE: Marketing (Energy and Utilities)
Re: If (x+5)/(1/x + 1/5) = 5, then x =  [#permalink]

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07 Apr 2019, 23:01
Bunuel wrote:
If $$\frac{(x+5)}{(\frac{1}{x}+\frac{1}{5})}=5$$, then x=

A. -5

B. $$\frac{1}{2}$$

C. 1

D. 5

E. 10

solve expression $$\frac{(x+5)}{(\frac{1}{x}+\frac{1}{5})}=5$$
we get 5x=5
x= 1
IMO C
Intern
Joined: 31 May 2018
Posts: 13
Location: India
GPA: 4
Re: If (x+5)/(1/x + 1/5) = 5, then x =  [#permalink]

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09 Apr 2019, 00:19
$$\frac{(x+5)}{(1/x + 1/5)}$$ = 5

$$\frac{(x+5)}{(5+x)}$$ * 5x = 5

5x= 5
x= 1

Option (C)
Senior Manager
Joined: 25 Feb 2019
Posts: 331
Re: If (x+5)/(1/x + 1/5) = 5, then x =  [#permalink]

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09 Apr 2019, 00:49
Fastest will be to plug values ,

x = 1 , we get LHS = RHS

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Re: If (x+5)/(1/x + 1/5) = 5, then x =   [#permalink] 09 Apr 2019, 00:49