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

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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

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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.
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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

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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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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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