Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 26 May 2017, 15:20

### 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 June
Open Detailed Calendar

# Ratio Problem

Author Message
TAGS:

### Hide Tags

Intern
Joined: 30 Oct 2012
Posts: 8
GPA: 3.85
Followers: 0

Kudos [?]: 4 [0], given: 0

### Show Tags

11 Nov 2012, 07:11
Hi guys,

I don't quite get the following problem:

x + y = 2z
2x + 3y = z

What is the ratio of x : y : z ?

Please give specific solution if possible.

Thanks.
Intern
Joined: 12 Jul 2012
Posts: 1
Location: India
Concentration: Operations, General Management
GMAT 1: 680 Q46 V37
GMAT 2: 680 Q46 V37
Followers: 0

Kudos [?]: 6 [1] , given: 22

### Show Tags

11 Nov 2012, 07:58
1
KUDOS
Pretty Simple, though I took some time to solve this problem.
Well, I think if solved as linear equations, you will get ratios 5: -3 : 1

I think an expert needs to help to validate.
Intern
Joined: 30 Oct 2012
Posts: 8
GPA: 3.85
Followers: 0

Kudos [?]: 4 [0], given: 0

### Show Tags

11 Nov 2012, 08:56

Could you provide the equation you've used?
Manager
Joined: 02 Nov 2012
Posts: 95
Location: India
Concentration: Entrepreneurship, Strategy
WE: Other (Computer Software)
Followers: 0

Kudos [?]: 45 [1] , given: 35

### Show Tags

11 Nov 2012, 09:14
1
KUDOS
$$x+y=2z$$ ---------- (A)
$$2x+3y=z$$ -------- (B)

[(B) x 2] - (A)
=> $$4x+6y-x-y=0$$
=> $$3x+5y=0$$
=> $$\frac{x}{y}=\frac{5}{-3}$$ ------------- (X)

(B) - [(A) x 2]
=> $$2x+3y-2x-2y=z-4z$$
=> $$\frac{y}{z}=\frac{-3}{1}$$ ------------- (Y)

From (X) and (Y),
$$x:y:z = 5:-3:1$$
_________________

TH

Give me +1 Kudos if my post helped!

Intern
Joined: 30 Oct 2012
Posts: 8
GPA: 3.85
Followers: 0

Kudos [?]: 4 [0], given: 0

### Show Tags

11 Nov 2012, 09:55
Thank you th03 for your answer. It's much more appealing to me right know.

But why would you do (B) - [(A) x 2]?

This: [(B) x 2] - (A) I understand well. You assign 0 to have some numeric reference.

But with a second equation? Why exactly this?
Manager
Joined: 02 Nov 2012
Posts: 95
Location: India
Concentration: Entrepreneurship, Strategy
WE: Other (Computer Software)
Followers: 0

Kudos [?]: 45 [0], given: 35

### Show Tags

11 Nov 2012, 11:00
[(B) x 2] - (A) is used to eliminate z and get a ratio for x and y.

Similarly, (B) - [(A) x 2] is done to eliminate x. This gives the ratio of y and z.

Combining the above 2 results, we can arrive at x:y:z.

The manipulation to the equations must be done in such a way that we eliminate 1 variable so as to get a ratio between the remaining two.

Does it make sense?
_________________

TH

Give me +1 Kudos if my post helped!

Intern
Joined: 30 Oct 2012
Posts: 8
GPA: 3.85
Followers: 0

Kudos [?]: 4 [0], given: 0

### Show Tags

14 Nov 2012, 14:14
Re: Ratio Problem   [#permalink] 14 Nov 2012, 14:14
Similar topics Replies Last post
Similar
Topics:
2 An easy way to find ratios in weighted averages problems 1 08 Nov 2016, 07:59
1 Ratio problems 3 09 Jan 2017, 11:12
Percent and Ratio Word Problems 0 21 Apr 2012, 09:49
Problems of Mixture Ratios 1 14 Oct 2011, 13:28
hie..my problem is in topic ratio & proportion 4 14 Mar 2010, 15:02
Display posts from previous: Sort by