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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## When x/y = 2.6, (x-y)/(x+y)=? tagged by: Max@Math Revolution ##### This topic has 2 expert replies and 1 member reply ### GMAT/MBA Expert [GMAT math practice question] $$When\ \frac{x}{y}=2.6,\ \frac{\left(x-y\right)}{\left(x+y\right)}=?$$ $$A.\ \frac{2}{7}$$ $$B.\ \frac{3}{8}$$ $$C.\ \frac{4}{9}$$ $$D.\ \frac{5}{9}$$ $$E.\ \frac{7}{10}$$ _________________ Math Revolution Finish GMAT Quant Section with 10 minutes to spare. The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. Only$149 for 3 month Online Course
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### GMAT/MBA Expert

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Max@Math Revolution wrote:
[GMAT math practice question]

$$When\ \frac{x}{y}=2.6,\ \frac{\left(x-y\right)}{\left(x+y\right)}=?$$

$$A.\ \frac{2}{7}$$
$$B.\ \frac{3}{8}$$
$$C.\ \frac{4}{9}$$
$$D.\ \frac{5}{9}$$
$$E.\ \frac{7}{10}$$
GIVEN: x/y = 2.6
All of them are in fraction form. So....

Rewrite 2.6 as a fraction: x/y = 2 3/5
Or...: x/y = 13/5

So, let's let x = 13 and y = 5, since these values satisfy the condition that x/y = 13/5
Our goal is to find the value of (x - y)/(x + y)
Plug in x = 13 and y = 5
We get: (x - y)/(x + y) = (13 - 5)/(13 + 5)
= 8/18
= 4/9

Cheers,
Brent

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Brent@GMATPrepNow wrote:
Max@Math Revolution wrote:
[GMAT math practice question]

$$When\ \frac{x}{y}=2.6,\ \frac{\left(x-y\right)}{\left(x+y\right)}=?$$

$$A.\ \frac{2}{7}$$
$$B.\ \frac{3}{8}$$
$$C.\ \frac{4}{9}$$
$$D.\ \frac{5}{9}$$
$$E.\ \frac{7}{10}$$
GIVEN: x/y = 2.6
All of them are in fraction form. So....

Rewrite 2.6 as a fraction: x/y = 2 3/5
Or...: x/y = 13/5

So, let's let x = 13 and y = 5, since these values satisfy the condition that x/y = 13/5
Our goal is to find the value of (x - y)/(x + y)
Plug in x = 13 and y = 5
We get: (x - y)/(x + y) = (13 - 5)/(13 + 5)
= 8/18
= 4/9

Cheers,
Brent
Yes, that's the way I did it, then there's this way also:

Given that X/Y has been specified, can (X-Y)/(X+Y) make direct use of it ?

Divide top and bottom by Y:
= (X/Y-1)/(X/Y+1)

Plug in X/Y=2.6:

(2.6-1)/(2.6+1) = 1.6/3.6 = 16/36 = 4/9

### GMAT/MBA Expert

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$$\frac{\left(x-y\right)}{\left(x+y\right)}=\frac{\frac{x}{y}-1}{\frac{x}{y}+1}=\frac{\left(2.6-1\right)}{\left(2.6+1\right)}=\frac{1.6}{3.6}=\frac{16}{36}=\frac{4}{9}$$

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