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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
Posts: 6524
GMAT 1: 760 Q51 V42
GPA: 3.82
If x and y are positive integers and xy=36, what is the smallest possi  [#permalink]

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27 Aug 2018, 01:42
00:00

Difficulty:

5% (low)

Question Stats:

89% (00:53) correct 11% (01:22) wrong based on 44 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
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $99 for 3 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: 7037 Re: If x and y are positive integers and xy=36, what is the smallest possi [#permalink] ### Show Tags 27 Aug 2018, 01:53 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 _________________ 1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372 2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html 3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html GMAT online Tutor Manager Status: Studying Quant Joined: 04 Sep 2017 Posts: 107 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, 03:51 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: 6524 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, 00:55 => 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$99 for 3 month Online Course"
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Re: If x and y are positive integers and xy=36, what is the smallest possi &nbs [#permalink] 29 Aug 2018, 00:55
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