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When x/y = 2.6, (x-y)/(x+y)=?

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When x/y = 2.6, (x-y)/(x+y)=?  [#permalink]

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New post 28 Feb 2018, 01:33
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[GMAT math practice question]

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

\(A. \frac{2}{7}\)
\(B. \frac{3}{8}\)
\(C. \frac{4}{9}\)
\(D. \frac{5}{9}\)
\(E. \frac{7}{10}\)

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Re: When x/y = 2.6, (x-y)/(x+y)=?  [#permalink]

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New post 28 Feb 2018, 02:46
MathRevolution wrote:
[GMAT math practice question]

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

\(A. \frac{2}{7}\)
\(B. \frac{3}{8}\)
\(C. \frac{4}{9}\)
\(D. \frac{5}{9}\)
\(E. \frac{7}{10}\)



\(\frac{x}{y}\) = 2.6 = 26/10
x=26 y=10

x-y =16
x+y =36

\(\frac{x-y}{x+y}\)= 16/36 = 4/9

(C) imo
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Re: When x/y = 2.6, (x-y)/(x+y)=?  [#permalink]

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New post 28 Feb 2018, 02:48
MathRevolution Can you reveal the OA later while posting the questions?
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Re: When x/y = 2.6, (x-y)/(x+y)=?  [#permalink]

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New post 28 Feb 2018, 03:04
MathRevolution wrote:
[GMAT math practice question]

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

\(A. \frac{2}{7}\)
\(B. \frac{3}{8}\)
\(C. \frac{4}{9}\)
\(D. \frac{5}{9}\)
\(E. \frac{7}{10}\)



One way to solve:

Let x =2.6 & y= 1


Apply in equation:

\(\frac{(2.6-1)}{(2.6+1)}\) = \(\frac{1.6}{3.6}\) = \(\frac{16}{3.6}\) = \(\frac{4}{9}\)

Answer: C

Another way:

x =2.6 y

Apply in equation:

\(\frac{(2.6y-y)}{(2.6y+1y)}\)............Cancel 'y' ...Continue above

Answer: C
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Re: When x/y = 2.6, (x-y)/(x+y)=?  [#permalink]

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New post 28 Feb 2018, 08:14
Top Contributor
MathRevolution wrote:
[GMAT math practice question]

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

\(A. \frac{2}{7}\)
\(B. \frac{3}{8}\)
\(C. \frac{4}{9}\)
\(D. \frac{5}{9}\)
\(E. \frac{7}{10}\)


GIVEN: x/y = 2.6
Scan the answer choices (ALWAYS scan the answer choices before formulating a solution)....
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

Answer: C

Cheers,
Brent
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Re: When x/y = 2.6, (x-y)/(x+y)=?  [#permalink]

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New post 02 Mar 2018, 01:20
=>

\(\frac{( x – y )}{( x + y )}\) = ( \(\frac{x}{y} – 1\) ) / ( \(\frac{x}{y} + 1\) )= \(\frac{( 2.6 – 1 )}{( 2.6 + 1 )}\) = \(\frac{1.6}{3.6}\) = \(\frac{16}{36}\) = \(\frac{4}{9}\)


Therefore, the answer is C.

Answer: C
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Re: When x/y = 2.6, (x-y)/(x+y)=?   [#permalink] 02 Mar 2018, 01:20
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