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mgmat ratio of x to y

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Source: — Data Sufficiency |
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by Night reader » Fri Dec 17, 2010 11:16 pm
prachich1987 wrote:What is the ratio of x to y?

(1) 5x = 2y

(2) 2y = 7x - 8
find x/y

st(1) x=2y/5 <=> x=(2/5)*y <=> x/y=2/5 Sufficient
st(2) (7x-8)/2y=1 <=> (7/2)*(x/y)-(8/2)*(1/y)=1 <=> (7/2)*(x/y)=(8+2y)/2y <=> (7/2)*(x/y)*2y ... endless translations Not sufficient

IOM A
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by SUHAILK » Fri Dec 17, 2010 11:17 pm
What is the ratio of x to y?

(1) 5x = 2y

(2) 2y = 7x - 8


Rephrase the question : what is x/y?


Statement 1:

5x = 2y

x/y = 2/5 provided y not 0

since y not = 0 information is not there ==> Statement 1 is insufficient


Statement 2 :

2y = 7x - 8

=> x/y = 1/7 + 4/7y (provided y not = 0)

=> to get x/y we require y , hence Statement 2 is insufficient


Combining Statement 1 & 2

we solve 2 equations to get x = 4 & y = 10 to get x/y = 2/5

Answer is C
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by Night reader » Fri Dec 17, 2010 11:25 pm
SUHAILK wrote:What is the ratio of x to y?

(1) 5x = 2y

(2) 2y = 7x - 8


Rephrase the question : what is x/y?


Statement 1:

5x = 2y

x/y = 2/5 provided y not 0

since y not = 0 information is not there ==> Statement 1 is insufficient
are not you making extra assumptions for this question? x can not be divided by y if y=0, hence 0 is canceled out inherently. We are asked to find the ratio and not to assess if the ratio exists
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by prachich1987 » Fri Dec 17, 2010 11:32 pm
Experts plz reply
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by SUHAILK » Sat Dec 18, 2010 1:50 am
Night reader wrote:
SUHAILK wrote:What is the ratio of x to y?

(1) 5x = 2y

(2) 2y = 7x - 8


Rephrase the question : what is x/y?


Statement 1:

5x = 2y

x/y = 2/5 provided y not 0

since y not = 0 information is not there ==> Statement 1 is insufficient
are not you making extra assumptions for this question? x can not be divided by y if y=0, hence 0 is canceled out inherently. We are asked to find the ratio and not to assess if the ratio exists

I dont think this is a extra assumption. It is a basic rule for solving equation.

And to arrive at the ratio of x to y, it will be required to determine whether the ratio exists or not.

Lets wait for expert reply to get clarity from GMAT point of view.
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by clock60 » Sat Dec 18, 2010 2:05 am
the problem is tricky, and my answer is C
(1) 5x=2y is valid for x=y=0 with ratio x/y=0
or for x=2 and y=5, with ratio x/y=2/5
as we have no restrictions on the value of x and y 1 st insuff
(2) 2y=7x-8 insuff
both give us the ratio of x,y as x.y can`t be 0
from 1 st x=2/5*y. and
10y=14y-40
y=10, x=4. x/y=2/5
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by ankurmit » Sun Dec 19, 2010 7:01 am
IMO A

we cant assume that X/Y can be 0
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by GMATGuruNY » Mon Dec 20, 2010 6:53 am
prachich1987 wrote:What is the ratio of x to y?

(1) 5x = 2y

(2) 2y = 7x - 8
I received a PM asking me to comment.

Since a ratio is sometimes written as a fraction, I can't imagine that the GMAT writers would suggest that statement 1 is insufficient because if x=y=0, then the ratio of x/y = 0/0. Division by 0 is not discussed on the GMAT. If this question were to appear on the GMAT, the information that x≠0 and y≠0 likely would be included.

It is important to recognize when a value can be equal to 0, however. Let's say that the question above said the following:

If x and y are nonnegative integers, is x<y?

When we examine statement 1, letting x=y=0 would not result in division by 0. Thus, statement 1 would be insufficient.
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