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

 It is currently 11 Dec 2019, 04:15 ### 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

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

Author Message
TAGS:

### Hide Tags

Math Expert 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 00:00

Difficulty:

(N/A)

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

### HideShow timer Statistics 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 [ 7.11 KiB | Viewed 422 times ]

_________________
Senior Manager  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

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  G
Status: So far only Dreams i have!!
Joined: 05 Jan 2015
Posts: 139
WE: Consulting (Consulting)
In the right-angled ∆ABC above, y/3 = 3/(x + y). What is the value of  [#permalink]

### Show Tags

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 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

Bunuel wrote: 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

_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com

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. 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  