题目信息
What is the sum of 3 consecutive integers?
A:Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B:Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C:BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D:EACH statement ALONE is sufficient.
E:Statements (1) and (2) TOGETHER are NOT sufficient.
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已选答案：
正确答案：
B:Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
Algebra Sequences
Let k be the smallest of the three consecutive integers. It follows that k + 1 and k + 2 are the other two integers and S = k + (k + 1) + (k + 2) = 3k + 3, where S is the sum of the three consecutive integers. Determine S.
It is given that 3k + 3 < k + 2. It follows thatk <
. If k = –1, then S = 0. However, if k = –2, then S = –3; NOT sufficient.
It is given that 
= 3. It follows that k = –3 and S can be determined; SUFFICIENT.
The correct answer is B;statement 2 alone is sufficient.
Let k be the smallest of the three consecutive integers. It follows that k + 1 and k + 2 are the other two integers and S = k + (k + 1) + (k + 2) = 3k + 3, where S is the sum of the three consecutive integers. Determine S.
It is given that 3k + 3 < k + 2. It follows thatk <
. If k = –1, then S = 0. However, if k = –2, then S = –3; NOT sufficient.
It is given that = 3. It follows that k = –3 and S can be determined; SUFFICIENT.The correct answer is B;statement 2 alone is sufficient.
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