Last visit was: 15 Jul 2024, 20:52 It is currently 15 Jul 2024, 20:52
Toolkit
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.

# If 52x + 604 = 1400 and 151 + 13y

SORT BY:
Tags:
Show Tags
Hide Tags
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6805
Own Kudos [?]: 30811 [11]
Given Kudos: 799
Manager
Joined: 03 Oct 2016
Posts: 96
Own Kudos [?]: 155 [2]
Given Kudos: 64
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6805
Own Kudos [?]: 30811 [2]
Given Kudos: 799
Director
Joined: 06 Jan 2015
Posts: 732
Own Kudos [?]: 1599 [1]
Given Kudos: 579
Location: India
Concentration: Operations, Finance
GPA: 3.35
WE:Information Technology (Computer Software)
Re: If 52x + 604 = 1400 and 151 + 13y [#permalink]
1
Kudos
GMATPrepNow wrote:
If 52x + 604 = 1400 and 151 + 13y = 350, what is the value of x – y?

A) -11/13
B) -11/52
C) 0
D) 11/52
E) 11/13

52x=1400-604 = 796

13x = 199 --> (1)

151 + 13y = 350

13y = 350-151 =199

13y = 199 --> (2)

1 - 2 gives us 0

Hence C
CEO
Joined: 26 Feb 2016
Posts: 2865
Own Kudos [?]: 5313 [1]
Given Kudos: 47
Location: India
GPA: 3.12
Re: If 52x + 604 = 1400 and 151 + 13y [#permalink]
1
Kudos
GMATPrepNow wrote:
If 52x + 604 = 1400 and 151 + 13y = 350, what is the value of x – y?

A) -11/13
B) -11/52
C) 0
D) 11/52
E) 11/13

If we multiply the 2nd equation by 4, we will get 604 + 52y = 1400(similar to 52x + 604 = 1400).

Therefore, the value of x-y is 0(Option C)
Manager
Joined: 01 Aug 2017
Posts: 165
Own Kudos [?]: 163 [1]
Given Kudos: 420
Location: India
GMAT 1: 500 Q47 V15
GPA: 3.4
WE:Information Technology (Computer Software)
Re: If 52x + 604 = 1400 and 151 + 13y [#permalink]
1
Kudos
GMATPrepNow wrote:
If 52x + 604 = 1400 and 151 + 13y = 350, what is the value of x – y?

A) -11/13
B) -11/52
C) 0
D) 11/52
E) 11/13

This can be solved in many ways. But the easiest of all - is to find relation between two equation.
This will take less time to solve this problem and will enable us to solve difficult question with more time in hand.

Let's take 2nd equation: 151 + 13y = 350. The only hint we have here is 13*4 = 52.
So lets multiply this equation by 4 ==> 604 + 52y = 1400.

The first equation is 52x + 604 = 1400.

==> x and y have same value. Hence x-y = 0.
Ans - C
VP
Joined: 13 Apr 2013
Status:It's near - I can see.
Posts: 1467
Own Kudos [?]: 1636 [1]
Given Kudos: 1002
Location: India
GPA: 3.01
WE:Engineering (Real Estate)
Re: If 52x + 604 = 1400 and 151 + 13y [#permalink]
1
Kudos
GMATPrepNow wrote:
If 52x + 604 = 1400 and 151 + 13y = 350, what is the value of x – y?

A) -11/13
B) -11/52
C) 0
D) 11/52
E) 11/13

If we divide 52x + 604 = 1400 by 4, it becomes 13x + 151 = 350. It means x = y

So x - y = 0

C.
Board of Directors
Joined: 11 Jun 2011
Status:QA & VA Forum Moderator
Posts: 6049
Own Kudos [?]: 4765 [0]
Given Kudos: 463
Location: India
GPA: 3.5
Re: If 52x + 604 = 1400 and 151 + 13y [#permalink]
BrentGMATPrepNow wrote:
If 52x + 604 = 1400 and 151 + 13y = 350, what is the value of x – y?

A) -11/13
B) -11/52
C) 0
D) 11/52
E) 11/13

$$52x = 796$$

Or, $$x = 15.$$xxxx

$$13y = 199$$

Or, $$y = 15.$$xxxx

Hence, $$x – y = 15 - 15 = 0$$, Answer must be (C)
Senior Manager
Joined: 12 Dec 2015
Posts: 464
Own Kudos [?]: 545 [0]
Given Kudos: 84
Re: If 52x + 604 = 1400 and 151 + 13y [#permalink]
If 52x + 604 = 1400 and 151 + 13y = 350, what is the value of x – y?

A) -11/13
B) -11/52
C) 0 --> correct: 52x + 604 = 1400 => 13x +151=350 =>13x=350-151 --(i) & 151 + 13y = 350 => 13y=350-151--(ii) => so (i)-(ii) =>13x-13y=0 => x-y=0
D) 11/52
E) 11/13
Intern
Joined: 05 Aug 2020
Posts: 2
Own Kudos [?]: 0 [0]
Given Kudos: 0
Re: If 52x + 604 = 1400 and 151 + 13y [#permalink]
It’s simple
1400= 604+52(15.30) > How 15.30 > 1400-604=796 >796/52 > x=15.30
Same for
350 = 151+13(15.30) > 350-151 = 191/13=15.30 >y=15.30
X-Y =15.30-15.30 =0

Posted from my mobile device
Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 10135
Own Kudos [?]: 17018 [0]
Given Kudos: 4
GMAT 1: 760 Q51 V42
GPA: 3.82
Re: If 52x + 604 = 1400 and 151 + 13y [#permalink]
52x + 604 = 1400 and 151 + 13y = 350

=> Divide the equation by '4' we get => 13x + 151 = 350

=> 13x - 13 y = 0

=> x - y = 0

Senior Manager
Joined: 11 Sep 2022
Posts: 497
Own Kudos [?]: 175 [0]
Given Kudos: 2
Location: India
Paras: Bhawsar
GMAT 1: 590 Q47 V24
GMAT 2: 580 Q49 V21
GMAT 3: 700 Q49 V35
GPA: 3.2
WE:Project Management (Other)
Re: If 52x + 604 = 1400 and 151 + 13y [#permalink]
Take Eqn 52x + 604 = 1400
Divide both sides by 4
=> 13x +151 = 350
=>13x=199------1

Take Eqn 151 + 13y = 350
=> 13y=350-151 = 199------2

Subtracting 1 & 2

=>13x-13y=0
=>x-y=0

Hence C
Re: If 52x + 604 = 1400 and 151 + 13y [#permalink]
Moderator:
Math Expert
94354 posts