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# If x and y are positive integers and xy=36, what is the smallest possi

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
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GMAT 1: 760 Q51 V42
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If x and y are positive integers and xy=36, what is the smallest possi  [#permalink]

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27 Aug 2018, 02:42
00:00

Difficulty:

5% (low)

Question Stats:

92% (00:56) correct 8% (01:25) wrong based on 55 sessions

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[Math Revolution GMAT math practice question]

If $$x$$ and $$y$$ are positive integers and $$xy=36$$, what is the smallest possible value of $$x+y$$?

$$A. 6$$
$$B. 8$$
$$C. 10$$
$$D. 12$$
$$E. 18$$

_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
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"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" Math Expert Joined: 02 Aug 2009 Posts: 7996 Re: If x and y are positive integers and xy=36, what is the smallest possi [#permalink] ### Show Tags 27 Aug 2018, 02:53 1 MathRevolution wrote: [Math Revolution GMAT math practice question] If $$x$$ and $$y$$ are positive integers and $$xy=36$$, what is the smallest possible value of $$x+y$$? $$A. 6$$ $$B. 8$$ $$C. 10$$ $$D. 12$$ $$E. 18$$ Always remember that for any product xy, the minimum sum x+y is when x=y So xy =36 and it X=y, x^2=36 or X=6 and thus y =6 x+y =6+6=12 D _________________ SC Moderator Status: GMAT - Pulling Quant and Verbal together Joined: 04 Sep 2017 Posts: 238 Location: United States (OH) Concentration: Technology, Leadership GPA: 3.6 WE: Sales (Computer Software) Re: If x and y are positive integers and xy=36, what is the smallest possi [#permalink] ### Show Tags 27 Aug 2018, 04:51 MathRevolution wrote: [Math Revolution GMAT math practice question] If $$x$$ and $$y$$ are positive integers and $$xy=36$$, what is the smallest possible value of $$x+y$$? $$A. 6$$ $$B. 8$$ $$C. 10$$ $$D. 12$$ $$E. 18$$ Possible options for x and y: 1 and 36 2 and 18 3 and 12 4 and 9 6 and 6 6 + 6 = 12 Answer: D _________________ Would I rather be feared or loved? Easy. Both. I want people to be afraid of how much they love me. How to sort questions by Topic, Difficulty, and Source: https://gmatclub.com/forum/search.php?view=search_tags Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 8023 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: If x and y are positive integers and xy=36, what is the smallest possi [#permalink] ### Show Tags 29 Aug 2018, 01:55 => When we know the product of two numbers, the sum of those numbers is a minimum when the two numbers are equal. Since $$xy = 36$$, the minimum value of $$x + y$$occurs when $$x = y = 6$$. It is $$6 + 6 = 12$$. Therefore, D is the answer. Answer: D _________________ 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"
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Re: If x and y are positive integers and xy=36, what is the smallest possi   [#permalink] 29 Aug 2018, 01:55
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