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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
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Is a sum of three integers A, B, and C even? (1) A+B=A (2) [#permalink]  16 Jan 2004, 12:03
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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

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Joined: 28 Oct 2003
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[#permalink]  16 Jan 2004, 12:05
Both together are sufficient.

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

2n+0 is even, for all integers.
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[#permalink]  16 Jan 2004, 12:40
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
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Location: dallas , tx
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Kudos [?]: 9 [0], given: 0

[#permalink]  16 Jan 2004, 13:05
odd+even = odd --> sum must be even
what does this sentence mean??
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shubhangi

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B.. [#permalink]  16 Jan 2004, 13:19
From (2)

A+(B+C) = A + A = 2A div by 2
B..   [#permalink] 16 Jan 2004, 13:19
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Is a sum of three integers A, B, and C even? (1) A+B=A (2)

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