困惑 GWD 24-34

34

A certain carton holds fewer than 50 books. What is the number of books in the carton?

(1)   The books in the carton can be divided into 3 stacks of X books each, with 2 books left over.

(2)   The books in the carton can be divided into Y stacks of 7 books each, with 2 books left over.

l        Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient

l        Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient

l        BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

l        EACH statement ALONE is sufficient

l        Statements (1) and (2) TOGETHER are NOT sufficient

(E)

(1) x = 3m + 2   x<50  => x can't be determined

(1) + (2)    21k+44 when k=0    x or y can be 44 which is less than 50

My answer is C

HELP!!!

How could I miss 23????? Cai

Thank you!