Last visit was: 07 Sep 2026, 03:18 It is currently 07 Sep 2026, 03:18
Home
Messages
Tests
Schools
Events
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
555-605 (Medium)|   Geometry|      
User avatar
Sajjad1994
User avatar
GRE Forum Moderator
Joined: 02 Nov 2016
Last visit: 06 Sep 2026
Posts: 16,388
Own Kudos:
53,648
Given Kudos: 6,458
GPA: 3.62
Products:
Forum Quiz
Posts: 16,388
Kudos: 53,648
In the figure above, what is the value of x + y? Updated on: 17 Dec 2017, 01:23
Originally posted by Sajjad1994 on 16 Dec 2017, 12:37.
Last edited by Bunuel on 17 Dec 2017, 01:23, edited 1 time in total.
Edited the question.
Kudos
Add Kudos
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

25% (medium)

Question Stats:

71% (01:23) correct 29% (01:48) wrong based on 75 sessions

History

Date
Time
Result
Not Attempted Yet

In the figure below, what is the value of x + y?

(1) a = 2b
(2) a + b = 45

Show Spoiler
Attachment:
12345.jpg
12345.jpg [ 9.98 KiB | Viewed 3056 times ]
ShowHide Answer
Official Answer
B
User avatar
chetan2u
User avatar
GMAT Expert
Joined: 02 Aug 2009
Last visit: 07 Sep 2026
Posts: 11,288
Own Kudos:
46,106
Given Kudos: 339
Status:Math and DI Expert
Location: India
Concentration: Human Resources, General Management
GMAT Focus 1: 735 Q90 V89 DI81
Products:
My Reviews
Expert
Expert reply
GMAT Focus 1: 735 Q90 V89 DI81
Posts: 11,288
Kudos: 46,106
In the figure above, what is the value of x + y? 16 Dec 2017, 18:23
Kudos
Add Kudos
Bookmarks
Bookmark this Post
SajjadAhmad
In the figure below, what is the value of x + y?

(1) a = 2b
(2) a + b = 45
Show more


ONE of the angle is 90, so remaining two will add up to 90..
Or a+b+x+y=90

1) a=2b
So 3b+x+y=90..
x+y will depend on value of b
Insufficient

2) a+b=45
So 45+x+y=90
x+y=45
Sufficient

B
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 06 Sep 2026
Posts: 113,179
Own Kudos:
839,666
Given Kudos: 111,357
Products:
GMAT Club Tests
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 113,179
Kudos: 839,666
In the figure above, what is the value of x + y? 17 Dec 2017, 01:24
Kudos
Add Kudos
Bookmarks
Bookmark this Post
SajjadAhmad

In the figure below, what is the value of x + y?

(1) a = 2b
(2) a + b = 45

Show Spoiler
Attachment:
12345.jpg
Show more

Similar question from Official Guide: https://gmatclub.com/forum/in-the-figur ... 44330.html
avatar
WYAZUC87
avatar
Joined: 22 Mar 2017
Last visit: 26 Feb 2018
Posts: 19
Own Kudos:
6
Given Kudos: 5
Schools: WP Carey" 20 (II) Merage '20 (S)
Schools: WP Carey" 20 (II) Merage '20 (S)
Posts: 19
Kudos: 6
In the figure above, what is the value of x + y? 17 Dec 2017, 02:37
Kudos
Add Kudos
Bookmarks
Bookmark this Post
I think it is B.

I) x+y+a+b=90 so a=2b x+y+3b=90 insufficient

II) If a+b=45, then x+y= 45 sufficient
User avatar
exc4libur
User avatar
Joined: 24 Nov 2016
Last visit: 22 Mar 2022
Posts: 1,678
Own Kudos:
1,495
Given Kudos: 607
Location: United States
Posts: 1,678
Kudos: 1,495
In the figure above, what is the value of x + y? 17 Dec 2017, 09:12
Kudos
Add Kudos
Bookmarks
Bookmark this Post
SajjadAhmad

In the figure below, what is the value of x + y?

(1) a = 2b
(2) a + b = 45

Show Spoiler
Attachment:
12345.jpg
Show more

The angles of a triangle sum to 180 degrees.
The figure above is a right triangle and the angles: \(a+b+x+y=180-90=90\)

(1) a = 2b. Replace \(a\) in the equation above, \(a+b+x+y=(2b)+b+x+y=3b+x+y = 90\), but since we don't know what \(b\) is, we cannot determine \(x+y\), insufficient.
(2) a + b = 45. Ok, since \(a+b+x+y=180-90=90\), then replacing \(a+b=45\) we get \((45)+x+y=90, x+y=45\), this is sufficient.

(B) is the answer.
Moderators:
Bunuel
Math Expert
113179 posts
FrozenDragon
DI Forum Moderator
409 posts