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# If f(x,y) = 10x/2x+3y+20y/3x+2y, where 0<x<y, which of the following c

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 8011
GMAT 1: 760 Q51 V42
GPA: 3.82
If f(x,y) = 10x/2x+3y+20y/3x+2y, where 0<x<y, which of the following c  [#permalink]

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08 Apr 2019, 02:04
00:00

Difficulty:

95% (hard)

Question Stats:

34% (02:35) correct 66% (02:52) wrong based on 38 sessions

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[GMAT math practice question]

If $$f(x,y) = \frac{10x}{2x+3y}+\frac{20y}{3x+2y}$$, where $$0<x<y$$, which of the following could be the value of $$f(x,y)$$?

$$A.8$$
$$B. 10$$
$$C. 12$$
$$D. 14$$
$$E. 16$$

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MathRevolution: 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 $79 for 1 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" GMAT Club Legend Joined: 18 Aug 2017 Posts: 5009 Location: India Concentration: Sustainability, Marketing GPA: 4 WE: Marketing (Energy and Utilities) Re: If f(x,y) = 10x/2x+3y+20y/3x+2y, where 0<x<y, which of the following c [#permalink] ### Show Tags 08 Apr 2019, 03:36 1 MathRevolution wrote: [GMAT math practice question] If $$f(x,y) = \frac{10x}{2x+3y}+\frac{20y}{3x+2y}$$, where $$0<x<y$$, which of the following could be the value of $$f(x,y)$$? $$A.8$$ $$B. 10$$ $$C. 12$$ $$D. 14$$ $$E. 16$$ I am not getting 1 definite answer value x=1,y=2 x=4,y=5 x=2,y=5 not getting 1 value of answer... Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 8011 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: If f(x,y) = 10x/2x+3y+20y/3x+2y, where 0<x<y, which of the following c [#permalink] ### Show Tags 10 Apr 2019, 00:45 => If $$x = 0$$, then $$f(0,y) = \frac{20y}{2y} = 10.$$ If $$x = y$$, then $$f(y,y) = \frac{10y}{5y} + \frac{20y}{5y} = 2 + 4 = 6.$$ Thus, if $$0 < x < y$$, we have $$6 < f(x,y) < 10$$ . The only possible value of $$f(x,y)$$ from among the choices is $$8$$. Therefore, A is the answer. Answer: A _________________ MathRevolution: 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$79 for 1 month Online Course"
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Re: If f(x,y) = 10x/2x+3y+20y/3x+2y, where 0<x<y, which of the following c   [#permalink] 10 Apr 2019, 00:45
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# If f(x,y) = 10x/2x+3y+20y/3x+2y, where 0<x<y, which of the following c

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