GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
If (x+5) (1/x+1/5)=5, then x=
[#permalink]
05 Apr 2019, 00:41
05 Apr 2019, 00:41
Expert Reply
00:00
Question Stats:
93% (00:35) correct
6% (02:10) wrong based on 15 sessions
Hide Show timer Statistics
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
A. -5
B. \(\frac{1}{2}\)
C. 1
D. 5
E. 10
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: If (x+5) (1/x+1/5)=5, then x=
[#permalink]
19 Apr 2020, 06:43
19 Apr 2020, 06:43
1
Carcass 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
A. -5
B. \(\frac{1}{2}\)
C. 1
D. 5
E. 10
\(\frac{1}{x} + \frac{1}{5} = \frac{5}{5x}+\frac{x}{5x}= \frac{5+x}{5x}\)
Take: \(\frac{(x+5)}{(\frac{1}{x}+\frac{1}{5})}=5\)
Rewrite as follows: \(\frac{(x+5)}{(\frac{5+x}{5x})}=5\)
This becomes: \((x+5)(\frac{5x}{5+x})=5\)
In other words: \(\frac{(5x)(x+5)}{5+x}=5\)
Simplify: \(5x = 5\)
Solve: \(x = 1\)
Answer: C
Cheers,
Brent
gmatclubot
Re: If (x+5) (1/x+1/5)=5, then x= [#permalink]
19 Apr 2020, 06:43
Moderators:
