It is currently 24 Feb 2018, 12:15

### 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
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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# If |x – y| = 10, what is the value of x? (1) x > 0 (2) y = 12

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

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 43896
If |x – y| = 10, what is the value of x? (1) x > 0 (2) y = 12 [#permalink]

### Show Tags

26 Dec 2016, 09:59
Expert's post
3
This post was
BOOKMARKED
00:00

Difficulty:

25% (medium)

Question Stats:

65% (00:52) correct 35% (00:37) wrong based on 187 sessions

### HideShow timer Statistics

If |x – y| = 10, what is the value of x?

(1) x > 0
(2) y = 12
[Reveal] Spoiler: OA

_________________
Senior Manager
Joined: 13 Apr 2013
Posts: 263
Location: India
Concentration: International Business, Operations
Schools: ISB '19
GMAT 1: 480 Q38 V22
GPA: 3.01
WE: Engineering (Consulting)
If |x – y| = 10, what is the value of x? (1) x > 0 (2) y = 12 [#permalink]

### Show Tags

26 Dec 2016, 10:16
Bunuel wrote:
If |x – y| = 10, what is the value of x?

(1) x > 0
(2) y = 12

Question: If absolute value of difference of x and y is 10, then find "x"?

Statement -1 is insufficient as it does not gives us the value of "y".

Statement - 2 is insufficient as x can be 2 or 22.

Even combining both we don't get a single value for "x"
So IMO (E)
_________________

"Success is not as glamorous as people tell you. It's a lot of hours spent in the darkness."

Last edited by QZ on 27 Dec 2016, 02:51, edited 2 times in total.
Retired Moderator
Joined: 05 Jul 2006
Posts: 1747
Re: If |x – y| = 10, what is the value of x? (1) x > 0 (2) y = 12 [#permalink]

### Show Tags

27 Dec 2016, 02:02
Distance between x and y on the number line is 10, what is x

1 is obviously insuff

From 2

X could be 22 or 2

Both

Still insuff

E

Sent from my iPhone using GMAT Club Forum mobile app
Intern
Joined: 04 Jan 2017
Posts: 13
Re: If |x – y| = 10, what is the value of x? (1) x > 0 (2) y = 12 [#permalink]

### Show Tags

07 Jan 2017, 01:03
Hi,
I don´t understand why statement 2 is also insuficient.

Statement 2: y=12

x-12=10
x=10+12
x= 22

Suff.
Thanks!!
Senior Manager
Joined: 13 Apr 2013
Posts: 263
Location: India
Concentration: International Business, Operations
Schools: ISB '19
GMAT 1: 480 Q38 V22
GPA: 3.01
WE: Engineering (Consulting)
If |x – y| = 10, what is the value of x? (1) x > 0 (2) y = 12 [#permalink]

### Show Tags

07 Jan 2017, 01:29
lauramo wrote:
Hi,
I don´t understand why statement 2 is also insuficient.

Statement 2: y=12

x-12=10
x=10+12
x= 22

Suff.
Thanks!!

The concept is an "absolute value" is the distance between two points on a number line and therefore it is always greater than or equal to zero. It can never be negative as distance can never be negative.

For this question, LHS is an absolute value so it can't be negative and hence x can be 2 & 22 both.

|2-12| = |-10| = 10

|22-12| = |10| = 10

So there are two values of x satisfying this equation, and hence the answer is E.

For Y/N questions we need one and only one value to make the statement sufficient.

Hope this helps.
_________________

"Success is not as glamorous as people tell you. It's a lot of hours spent in the darkness."

Last edited by QZ on 09 Jan 2017, 01:51, edited 1 time in total.
Intern
Joined: 04 Jan 2017
Posts: 13
Re: If |x – y| = 10, what is the value of x? (1) x > 0 (2) y = 12 [#permalink]

### Show Tags

07 Jan 2017, 03:21
Thank you very much for the response.

I see why x can have two values: 2 or 10.
However what I still don´t understand is why we cannot resolve this inequality as a regular equation to obtain only one value.

Thanks.
Senior Manager
Joined: 13 Apr 2013
Posts: 263
Location: India
Concentration: International Business, Operations
Schools: ISB '19
GMAT 1: 480 Q38 V22
GPA: 3.01
WE: Engineering (Consulting)
If |x – y| = 10, what is the value of x? (1) x > 0 (2) y = 12 [#permalink]

### Show Tags

07 Jan 2017, 11:06
lauramo wrote:
Thank you very much for the response.

I see why x can have two values: 2 or 10.
However what I still don´t understand is why we cannot resolve this inequality as a regular equation to obtain only one value.

Thanks.

It can be solved as a regular inequality if there is no modulus sign.

If $$x - y = 10$$ then as per statement 2 x can only have a single value as 22.

But for$$|x – y| = 10$$, we need to take care of absolute value on both sides of "0"on number line.

$$|x – y| = (x - y) = 10$$ , putting y = 12 we get x - 12 = 10 and $$x = 22$$

$$|x – y| = -(x - y) = 10$$, putting y = 12 we get,

$$-x + 12 = 10$$

$$-x =10 - 12$$

$$-x = -2$$

$$x = 2$$

If I say absolute value of x is 5 then it means distance of x from 0 on the number line is 5 units and these 5 units will be on both sides of "0".
_________________

"Success is not as glamorous as people tell you. It's a lot of hours spent in the darkness."

Intern
Joined: 04 Jan 2017
Posts: 13
Re: If |x – y| = 10, what is the value of x? (1) x > 0 (2) y = 12 [#permalink]

### Show Tags

09 Jan 2017, 01:15
Of course!!
Thank you so much for your patience!
Director
Joined: 12 Nov 2016
Posts: 790
Re: If |x – y| = 10, what is the value of x? (1) x > 0 (2) y = 12 [#permalink]

### Show Tags

01 Sep 2017, 14:20
Bunuel wrote:
If |x – y| = 10, what is the value of x?

(1) x > 0
(2) y = 12

Let's break this down

Stmnt 1

No info about y and x and y could take on infinite values

Stmnt 2

two ways to break down abs. value

Pos
x-12 =10
x =22

Neg
-lx-12l =10
-x +12 =10
-x= -2
x =2

insuff

Stmnt 1 and 2

Even if we know that x is greater than 0 there are two values that fit that criteria insuff

E
Re: If |x – y| = 10, what is the value of x? (1) x > 0 (2) y = 12   [#permalink] 01 Sep 2017, 14:20
Display posts from previous: Sort by

# If |x – y| = 10, what is the value of x? (1) x > 0 (2) y = 12

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

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.