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# If x and y are integers and -9<x<3 and -3<y<3, what is the sum of the

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Math Expert
Joined: 02 Aug 2009
Posts: 8168
If x and y are integers and -9<x<3 and -3<y<3, what is the sum of the  [#permalink]

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04 Jul 2018, 21:43
3
8
00:00

Difficulty:

75% (hard)

Question Stats:

48% (01:45) correct 52% (01:42) wrong based on 254 sessions

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If x and y are integers and -9<x<3 and -3<y<3, what is the sum of the maximum values of $$\frac{x}{y}$$ and xy?
(A) 36
(B) 28
(C) 24
(D) 12
(E) None of the above

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Joined: 01 Oct 2017
Posts: 995
WE: Supply Chain Management (Energy and Utilities)
Re: If x and y are integers and -9<x<3 and -3<y<3, what is the sum of the  [#permalink]

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04 Jul 2018, 23:09
2
chetan2u wrote:
If x and y are integers and -9<x<3 and -3<y<3, what is the sum of the maximum values of $$\frac{x}{y}$$ and xy?
(A) 36
(B) 28
(C) 24
(D) 12
(E) None of the above

New question

Given $$-8\leq{x\leq{2}$$ & $$-2\leq{y\leq{2}$$ with x and y are integers.

Max|x|=8, Max|y|=2, Min|y|=1

So, Max( $$\frac{x}{y}$$+xy)=Max($$\frac{x}{y}$$)+Max(xy)
=$$\frac{-8}{-1}$$ + (-8)*(-2)
=8+16=24
Ans. (C)
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Status: Valar Dohaeris
Joined: 31 Aug 2016
Posts: 302
GMAT 1: 700 Q49 V37
Re: If x and y are integers and -9<x<3 and -3<y<3, what is the sum of the  [#permalink]

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05 Jul 2018, 06:47
1
chetan2u wrote:
If x and y are integers and -9<x<3 and -3<y<3, what is the sum of the maximum values of $$\frac{x}{y}$$ and xy?
(A) 36
(B) 28
(C) 24
(D) 12
(E) None of the above

New question

max($$\frac{x}{y}$$) = $$\frac{-8}{-1}$$ = 8

max(xy) = -8 * -2 = 16

therefore max($$\frac{x}{y}$$) + max(xy) = 24
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Manager
Joined: 29 Jul 2018
Posts: 103
Concentration: Finance, Statistics
GMAT 1: 620 Q45 V31
Re: If x and y are integers and -9<x<3 and -3<y<3, what is the sum of the  [#permalink]

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30 Aug 2018, 13:32
my approach
to make x/y max take x/y = -8/-1= 8
and to make xy max take xy = -8/-2= 16
8+16 = 24
Intern
Joined: 26 Sep 2016
Posts: 3
Re: If x and y are integers and -9<x<3 and -3<y<3, what is the sum of the  [#permalink]

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30 Aug 2018, 20:27
1
How can we take two different values for y?

Posted from my mobile device
Manager
Joined: 07 Aug 2018
Posts: 107
Location: United States (MA)
GMAT 1: 560 Q39 V28
GMAT 2: 670 Q48 V34
Re: If x and y are integers and -9<x<3 and -3<y<3, what is the sum of the  [#permalink]

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12 Sep 2018, 09:49
Shekhar44 wrote:
How can we take two different values for y?

Posted from my mobile device

"what is the sum of the maximum values of $$\frac{x}{y}$$ and xy?"

It is one time maximum value for $$\frac{x}{y}$$, and one time maximum value for xy! These two have their maximum values at different values for y. The question stem does not specify that you need to use the same values for x and y in booth $$\frac{x}{y}$$ and xy...

Is it clear now?
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Re: If x and y are integers and -9<x<3 and -3<y<3, what is the sum of the   [#permalink] 12 Sep 2018, 09:49
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