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# Is a sum of three integers A, B, and C even? (1) A+B=A (2)

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Senior Manager
Joined: 30 Aug 2003
Posts: 322
Location: dallas , tx
Is a sum of three integers A, B, and C even? (1) A+B=A (2) [#permalink]

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16 Jan 2004, 13:03
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Is a sum of three integers A, B, and C even?

(1) A+B=A
(2) B+C=A
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shubhangi

Director
Joined: 28 Oct 2003
Posts: 501
Location: 55405

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16 Jan 2004, 13:05
Both together are sufficient.

From 1, b=0.
From 2, C=A

2n+0 is even, for all integers.
GMAT Club Legend
Joined: 15 Dec 2003
Posts: 4288

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16 Jan 2004, 13:40
1- B = 0. insufficient

2- Let's try out diff. possible scenarios
odd+even = odd --> sum must be even
even+even = even --> sum must be even
odd+odd = even --> sum must be even
B is sufficient
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Paul

Senior Manager
Joined: 30 Aug 2003
Posts: 322
Location: dallas , tx

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16 Jan 2004, 14:05
odd+even = odd --> sum must be even
what does this sentence mean??
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shubhangi

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Joined: 11 Oct 2003
Posts: 102
Location: USA

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16 Jan 2004, 14:19
From (2)

A+(B+C) = A + A = 2A div by 2
B..   [#permalink] 16 Jan 2004, 14:19
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# Is a sum of three integers A, B, and C even? (1) A+B=A (2)

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