[問題]新PP2-DS

[a16327]

Set S consists of 5 consecutive integers, and set T consists of 7 consecutive integers. Is the median of the numbers in set S equal to the median of the numbers in set T?

(1) the median of the numbers in set S is 0
(2) the sum of the numbers in set S is equal to the sum of the numbers in set T

Ans: C

我不懂爲何不是(B)

[吳]

Set S consists of 5 consecutive integers, and set T consists of 7 consecutive integers. Is the median of the numbers in set S equal to the median of the numbers in set T?

(1) the median of the numbers in set S is 0
(2) the sum of the numbers in set S is equal to the sum of the numbers in set T

Ans: C

(2)
設5個連續正整數為N-2,N-1,N,N+1,N+2
7 M-3,M-2,M-1,M,M+1,M+2,M+3
兩SUM相同:5N=7M
N=0,M=0;N=7,M=5.....有無限多組
加上(1)的條件才可求出