GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 11 Dec 2019, 04:15

Close

GMAT 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

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

In the right-angled ∆ABC above, y/3 = 3/(x + y). What is the value of

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 59674
In the right-angled ∆ABC above, y/3 = 3/(x + y). What is the value of  [#permalink]

Show Tags

New post 24 Oct 2019, 00:46
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

86% (01:37) correct 14% (02:28) wrong based on 37 sessions

HideShow timer Statistics

Senior Manager
Senior Manager
User avatar
G
Joined: 29 Jun 2019
Posts: 470
Re: In the right-angled ∆ABC above, y/3 = 3/(x + y). What is the value of  [#permalink]

Show Tags

New post 24 Oct 2019, 02:36
4²+3²=(x+y)²=25
x+y=5
y/3=3/5
5y=9,y=9/5

Posted from my mobile device
_________________
Always waiting
Manager
Manager
User avatar
G
Status: So far only Dreams i have!!
Joined: 05 Jan 2015
Posts: 139
WE: Consulting (Consulting)
Premium Member Reviews Badge
In the right-angled ∆ABC above, y/3 = 3/(x + y). What is the value of  [#permalink]

Show Tags

New post 24 Oct 2019, 03:50
Using Pythagoras theorem:

\(4^2 + 3^2 = (x+y)^2\)

x+y = +5 or -5 -> should be positive so +5

Given equation:

\(\frac{y}{3} = \frac{3}{(x + y)}\) => y(x+y) = 9 => y(5) = 9

\(y = \frac{9}{5}\)

IMO Option C it is!
Target Test Prep Representative
User avatar
V
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8668
Location: United States (CA)
Re: In the right-angled ∆ABC above, y/3 = 3/(x + y). What is the value of  [#permalink]

Show Tags

New post 26 Oct 2019, 08:59
Bunuel wrote:
Image
In the right-angled ∆ABC above, \(\frac{y}{3} = \frac{3}{x + y}\). What is the value of y?

(A) 5/2
(B) 3
(C) 9/5
(D) 5/9
(E) 7/2

Attachment:
2017-08-08_2112_002.png


We see that triangle ABC is a 3-4-5 right triangle. Therefore, x + y = 5. Since we are given that y/3 = 3/(x + y), we have:

y/3 = 3/5

5y = 9

y = 9/5

Answer: C
_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

GMAT Club Bot
Re: In the right-angled ∆ABC above, y/3 = 3/(x + y). What is the value of   [#permalink] 26 Oct 2019, 08:59
Display posts from previous: Sort by

In the right-angled ∆ABC above, y/3 = 3/(x + y). What is the value of

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne