x and y are positive integers. When x is divided by 9, the remainder is 2, and when x is divided by 7, the remainder is 4. When y is divided by 11, the remainder is 3, and when y is divided by 13, the remainder is 12. What is the least possible value of y - x? Pick:
A) 12
B) 13
C) 14
D) 15
E) 16
When x is divided by 9, the remainder is 2: So, the possible values of x are: 2, 11, 21, 29, etc.   When x is divided by 7, the remainder is 4: So, the possible values of x are: 4,11,18,... STOP. Since both lists include 11, the smallest possible value of x is 11.   When y is divided by 11, the remainder is 3: So, the possible values of y are: 3, 14, 25, etc.   When y is divided by 13, the remainder is 12: So, the possible values of y are: 12, 25, ...STOP. Since both lists include 25, the smallest possible value of y is 25   Since the smallest possible values of x and y are 11 and 25 respectively, the smallest possible value of y - x is 14. So,14 is the correct answer to the original question.
<result>C</result>
x and y are positive integers. When x is divided by 9, the remainder is 2, and when x is divided by 7, the remainder is 4. When y is divided by 11, the remainder is 3, and when y is divided by 13, the remainder is 12. What is the least possible value of y - x?