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Are A, B, and C consecutive integers? C-B = A-B A, B, and C are all i

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Are A, B, and C consecutive integers? C-B = A-B A, B, and C are all i  [#permalink]

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New post 21 Mar 2017, 20:03
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Are A, B, and C consecutive integers?

(1) C-B = A-B
(2) A, B, and C are all integers

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Re: Are A, B, and C consecutive integers? C-B = A-B A, B, and C are all i  [#permalink]

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New post 21 Mar 2017, 23:23
1 says A+C is 2B
Insufficient since A B and C can be non integers too
2 says A B and C are integers
Insufficient
But 1 and 2 together gives ABC as consecutive integers with B as the middle number.

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Re: Are A, B, and C consecutive integers? C-B = A-B A, B, and C are all i  [#permalink]

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New post 22 Mar 2017, 02:53
ziyuen wrote:
Are A, B, and C consecutive integers?

(1) C-B = A-B
(2) A, B, and C are all integers


St 1: C-B = A-B. Hence A = C. therefore they are not consecutive integers. ANSWER
St 2: INSUFFICIENT as no further data has been provided

Option A
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Re: Are A, B, and C consecutive integers? C-B = A-B A, B, and C are all i  [#permalink]

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New post 27 Apr 2017, 12:03
mcmoorthy wrote:
1 says A+C is 2B
Insufficient since A B and C can be non integers too

2 says A B and C are integers
Insufficient
But 1 and 2 together gives ABC as consecutive integers with B as the middle number.


Please check your calculation again.

Statement (1) is => C-B = A-B

=> C = A - B + B = A

i.e. C = A.

Hence A, B, and C are not consecutive integers as A & C are same.

Answer - Option A
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Re: Are A, B, and C consecutive integers? C-B = A-B A, B, and C are all i  [#permalink]

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New post 27 Apr 2017, 15:42
ziyuen wrote:
Are A, B, and C consecutive integers?

(1) C-B = A-B
(2) A, B, and C are all integers


1. rewrite it as C-B+B=A or C=A - we know for SURE that A,B,C are not consecutive. moreover, we don't care if they are integers or not - we definitely know that A=C, and in this case, there is no way for them to be consecutive integers.
2. doesn't tell us much
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Re: Are A, B, and C consecutive integers? C-B = A-B A, B, and C are all i  [#permalink]

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New post 28 Apr 2017, 18:45
My bad folks. Thanks for the correction.


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Re: Are A, B, and C consecutive integers? C-B = A-B A, B, and C are all i  [#permalink]

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New post 01 Jan 2018, 11:27
hazelnut wrote:
Are A, B, and C consecutive integers?

(1) C-B = A-B
(2) A, B, and C are all integers


VERITAS PREP OFFICIAL SOLUTION:

Solution: A

Statement (2) is insufficient on its own, as it allows for the integers to be spread across the entire number line; INSUFFICIENT.

If we add B to both sides of statement (1), however, we learn that C = A. If C = A, the integers cannot be consecutive, as at least two of them equal each other; SUFFICIENT, (A).
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Re: Are A, B, and C consecutive integers? C-B = A-B A, B, and C are all i &nbs [#permalink] 01 Jan 2018, 11:27
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