x and y are positive integers. When x is divided by 17, the remainder is 3, and when x is divided by 19, the remainder is 1. When y is divided by 14, the remainder is 5, and when y is divided by 21, the remainder is 12. What is the least possible value of y - x?  Choose the most appropriate option.
A) 15	B) 13	C) 11	D) 14	E) 18
When x is divided by 17, the remainder is 3: So, the possible values of x are: 3, 20, 37,54 , etc.   When x is divided by 19, the remainder is 1: So, the possible values of x are: 1,20... STOP. Since both lists include 20, the smallest possible value of x is 20.   When y is divided by 14, the remainder is 5: So, the possible values of y are: 5, 19, 33,47 etc.   When y is divided by 21, the remainder is 12: So, the possible values of y are: 12, 33, ...STOP. Since both lists include 33, the smallest possible value of y is 33   Since the smallest possible values of x and y are 20 and 33 respectively, the smallest possible value of y - x is 13. So,13 is the correct answer to the original question.
<result>B</result>
x and y are positive integers. When x is divided by 17, the remainder is 3, and when x is divided by 19, the remainder is 1. When y is divided by 14, the remainder is 5, and when y is divided by 21, the remainder is 12. What is the least possible value of y - x?