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

 It is currently 18 Dec 2018, 02:58

### 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

## Events & Promotions

###### Events & Promotions in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
• ### Happy Christmas 20% Sale! Math Revolution All-In-One Products!

December 20, 2018

December 20, 2018

10:00 PM PST

11:00 PM PST

This is the most inexpensive and attractive price in the market. Get the course now!
• ### Key Strategies to Master GMAT SC

December 22, 2018

December 22, 2018

07:00 AM PST

09:00 AM PST

Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions.

# If 2x - y = 75, what is the value of x? (1) x = 3y (2) y = 15

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 51281
If 2x - y = 75, what is the value of x? (1) x = 3y (2) y = 15  [#permalink]

### Show Tags

30 Jul 2018, 05:08
00:00

Difficulty:

15% (low)

Question Stats:

89% (00:25) correct 11% (00:30) wrong based on 35 sessions

### HideShow timer Statistics

If 2x - y = 75, what is the value of x?

(1) x = 3y

(2) y = 15

_________________
Intern
Joined: 02 Nov 2016
Posts: 6
Location: India
Schools: ISB '20
GMAT 1: 710 Q50 V35
GPA: 4
Re: If 2x - y = 75, what is the value of x? (1) x = 3y (2) y = 15  [#permalink]

### Show Tags

30 Jul 2018, 05:17
Statement 1 is sufficient as another relation in x and y is given. 2 equations ,2 variables. Value of x can be calculated.
Statement 2 is also sufficient value of y=15 is given. By putting this in original equation,we can get the value of x .

Both are sufficient (D)
MBA Section Director
Affiliations: GMATClub
Joined: 22 May 2017
Posts: 1513
Concentration: Nonprofit
GPA: 4
WE: Engineering (Computer Software)
Re: If 2x - y = 75, what is the value of x? (1) x = 3y (2) y = 15  [#permalink]

### Show Tags

30 Jul 2018, 05:19
To find the value of x

2x - y = 75

Statement 1

x = 3y

=> 2x = 6y

=> 6y - y = 75

=> y = 15

=> x = 45

Statement 1 is sufficient

Statement 2

y = 15

2x = y + 75

=> 2x = 15 + 75 = 90

=> x = 45

Statement 2 is suffcient

Hence option D
_________________
Math Expert
Joined: 02 Aug 2009
Posts: 7112
Re: If 2x - y = 75, what is the value of x? (1) x = 3y (2) y = 15  [#permalink]

### Show Tags

30 Jul 2018, 05:26
Bunuel wrote:
If 2x - y = 75, what is the value of x?

(1) x = 3y

(2) y = 15

You have two variables and you require two DISTINCT equation to solve them with some numeric value free of variable

2x-y=75..

1) X=3y
Sufficient as two distinct equation
No need to solve but let's see
2*3y-y=75.......6y-y=75.........y=75/5=15
z=3*15=45
Sufficient

2)y=15
2x-15=75....2x=90....X=45
Sufficient

D
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

GMAT online Tutor

Re: If 2x - y = 75, what is the value of x? (1) x = 3y (2) y = 15 &nbs [#permalink] 30 Jul 2018, 05:26
Display posts from previous: Sort by