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# what must be added to x/y to make 2y/x ?

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VP
Joined: 31 Oct 2013
Posts: 1491
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)

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24 Feb 2019, 01:26
1
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Difficulty:

15% (low)

Question Stats:

87% (01:11) correct 13% (01:34) wrong based on 30 sessions

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what must be added to x/y to make 2y/x ?

A)$$\frac{2x^2}{y}$$
B)$$\frac{(xy - y^2)}{x}$$
C)$$\frac{(2y^2 - x^2)}{xy}$$
D)$$\frac{x}{y}$$
E)$$\frac{x}{y^2}$$
Intern
Joined: 20 Dec 2018
Posts: 8
Location: United Kingdom
Concentration: Finance, Technology
GPA: 3.8
WE: Investment Banking (Investment Banking)
Re: what must be added to x/y to make 2y/x ?  [#permalink]

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24 Feb 2019, 01:37
Using Test It:
Let’s say X=2 and Y=3, équation becomes
2/3 + A = 6/2
A = 7/3

Let’s plug X and Y into the answers and see which one gives us 7/3

A) 8/3
B) negative, I stop
C) 14/6 ... 7/3, good answer
Rapid check for D and E to be sure but those are clearly wrong

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Senior Manager
Joined: 20 Mar 2018
Posts: 465
Location: Ghana
Concentration: Finance, Real Estate
Re: what must be added to x/y to make 2y/x ?  [#permalink]

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24 Feb 2019, 02:01
Let what must be added =?
Now
? + x/y = 2y/x
? = 2y/x - x/y
? =(y/y)2y/x - (x/x)x/y
? = 2y^2/xy - x^2/xy
? = (2y^2 - x^2)/xy
Ans is C
Hope it helps

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Senior Manager
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Posts: 455
Re: what must be added to x/y to make 2y/x ?  [#permalink]

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25 Feb 2019, 04:53
1
It's not often that I see addition questions – it made me think.
What is the source?
Senior Manager
Joined: 20 Mar 2018
Posts: 465
Location: Ghana
Concentration: Finance, Real Estate
Re: what must be added to x/y to make 2y/x ?  [#permalink]

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25 Feb 2019, 05:23
Isn’t it based on your level of Quant questions that’s why you might not see a simple question like this one ?
philipssonicare wrote:
It's not often that I see addition questions – it made me think.
What is the source?

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Senior Manager
Joined: 15 Feb 2018
Posts: 455
Re: what must be added to x/y to make 2y/x ?  [#permalink]

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25 Feb 2019, 12:38
Staphyk I feel I see lots of question applying quadratic rules and exponent rules, division and multiplication. I've been doing sub-600 level questions recently for lazy practice, so they can't get any easier!
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Re: what must be added to x/y to make 2y/x ?  [#permalink]

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27 Feb 2019, 09:19
selim wrote:
what must be added to x/y to make 2y/x ?

A)$$\frac{2x^2}{y}$$
B)$$\frac{(xy - y^2)}{x}$$
C)$$\frac{(2y^2 - x^2)}{xy}$$
D)$$\frac{x}{y}$$
E)$$\frac{x}{y^2}$$

We can let k = the number that must be added and create the equation:

x/y + k = 2y/x

k = 2y/x - x/y

Getting a common denominator of xy, we have:

k = 2y^2/(xy) - x^2/(xy)

k = (2y^2 - x^2)/(xy)

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Re: what must be added to x/y to make 2y/x ?   [#permalink] 27 Feb 2019, 09:19
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