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# If a, b, and c are integers, is a - b + c greater than a + b

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Manager
Joined: 01 Dec 2011
Posts: 67

Kudos [?]: 52 [1], given: 12

If a, b, and c are integers, is a - b + c greater than a + b [#permalink]

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06 Feb 2012, 08:27
1
KUDOS
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Difficulty:

15% (low)

Question Stats:

78% (00:45) correct 22% (01:24) wrong based on 118 sessions

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If a, b, and c are integers, is a - b + c greater than a + b - c?

(1) b is negative
(2) c is positive
[Reveal] Spoiler: OA

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Kudos [?]: 52 [1], given: 12

Math Expert
Joined: 02 Sep 2009
Posts: 42248

Kudos [?]: 132522 [1], given: 12324

Re: if a, b, and c are integers, is a - b + c greater than a+ b [#permalink]

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06 Feb 2012, 08:33
1
KUDOS
Expert's post
If a, b, and c are integers, is a - b + c greater than a+ b - c?

Is $$a-b+c>a+b-c$$? --> is $$2c>2b$$? --> is $$c>b$$?

(1) b is negative. Clearly insufficient.
(2) c is positive. Clearly insufficient.

(1)+(2) $$(c=positive)>(b=negative)$$. Sufficient.

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Kudos [?]: 132522 [1], given: 12324

Intern
Joined: 25 Aug 2010
Posts: 17

Kudos [?]: 1 [0], given: 11

Re: If a, b, and c are integers, is a - b + c greater than a+ b [#permalink]

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18 Mar 2012, 02:25
fiendex wrote:
If a, b, and c are integers, is a - b + c greater than a+ b - c?

1) b is negative
2) c is positive

bunuel,

how did u arrive at 2c>2b? --> is c>b?
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eshwar

Kudos [?]: 1 [0], given: 11

Math Expert
Joined: 02 Sep 2009
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Kudos [?]: 132522 [0], given: 12324

Re: If a, b, and c are integers, is a - b + c greater than a+ b [#permalink]

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18 Mar 2012, 06:42
pappueshwar wrote:
fiendex wrote:
If a, b, and c are integers, is a - b + c greater than a+ b - c?

1) b is negative
2) c is positive

bunuel,

how did u arrive at 2c>2b? --> is c>b?

a-b+c>a+b-c --> rearrange and cancel a's on both sides: 2c>2b --> reduce by 2: c>b?.

Hope it's clear.
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Kudos [?]: 132522 [0], given: 12324

Senior Manager
Status: May The Force Be With Me (D-DAY 15 May 2012)
Joined: 06 Jan 2012
Posts: 271

Kudos [?]: 327 [0], given: 16

Location: India
Concentration: General Management, Entrepreneurship
Re: If a, b, and c are integers, is a - b + c greater than a+ b [#permalink]

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18 Mar 2012, 09:30
hi,

Required Proof : a-b+c>a+b-c => (since integers) 2c>2b (we are not multiplying with a negative sign hence no sign change) => c>b

Now to prove this

Statement 1 : B is negative
We dont know anything about C so Insufficient

Statement 2 : C is positive
We dont know anything about B so Insufficient

Combine : C positive & B Negative

Hence C > B

Sufficient

Hope this helps
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Re: If a, b, and c are integers, is a - b + c greater than a + b [#permalink]

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26 Dec 2015, 18:16
Hello from the GMAT Club BumpBot!

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Re: If a, b, and c are integers, is a - b + c greater than a + b [#permalink]

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13 Mar 2016, 08:52
HERE the question is asking for if B<C or not..
Clearly C is sufficient
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Re: If a, b, and c are integers, is a - b + c greater than a + b   [#permalink] 13 Mar 2016, 08:52
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