If p and q are positive integers each greater than 1, and 17(p+1)=21(q+1), what is the least possible value of p+q?  Choices:
A) 36
B) 42
C) 44
D) 46
E) none

Rationale: "17 ( p + 1 ) = 21 ( q + 1 ) - - > ( p + 1 ) / ( q + 1 ) = 21 / 17 - - > the least positive value of p + 1 is 21 , so the least value of p is 20 and the least positive value of q + 1 is 17 , so the least value of q is 16 - - > the least value of p + q is 20 + 16 = 36 . answer : a ."
Answer: A