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

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If a, b, and c are integers, is a - b + c greater than a + b [#permalink] New post 06 Feb 2012, 07:27
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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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Re: if a, b, and c are integers, is a - b + c greater than a+ b [#permalink] New post 06 Feb 2012, 07:33
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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.

Answer: C.
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Re: If a, b, and c are integers, is a - b + c greater than a+ b [#permalink] New post 18 Mar 2012, 01:25
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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Re: If a, b, and c are integers, is a - b + c greater than a+ b [#permalink] New post 18 Mar 2012, 05:42
Expert's post
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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Re: If a, b, and c are integers, is a - b + c greater than a+ b [#permalink] New post 18 Mar 2012, 08:30
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] 18 Mar 2012, 08:30
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