If k is a positive integer and the tens digit of k + 5 is 4, what is the tens digit of k ?
(1) k > 35
(2) The units digit of k is greater than 5.
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
EACH statement ALONE is sufficient.
Statements (1) and (2) TOGETHER are NOT sufficient.
由2,k的个位数>5,则k+5的个位数要进一位,得到4,故k的十位是3.所以2充分。1不充分。
k>35,无法确定它是否有进位,e.g. 38,41
k的个位数大于5,k+5肯定有进位,则能够确定k的十数位
(2)个位>5,必须进位,所以十位为3
由2,k的个位数>5,则k+5的个位数要进一位,得到4,故k的十位是3.所以2充分。1不充分。
读题失败:是k+5后的十位数为4.
(2)则直接限定了,如果个位数大于5(则为6,7,8,9),那么为了满足k+5的十位为4,只能使得k的十位数为3,加5后进一位为4.k的十位数就确定了,为3.