If p and q are positive integers each greater than 1, and 17(p+1)=20(q+1), what is the least possible value of p+q?  Choose the correct choice from the following options
A) 35	B) 42	C) 44	D) 46	E) none

Rationale: "17 ( p + 1 ) = 29 ( q + 1 ) - - > ( p + 1 ) / ( q + 1 ) = 20 / 17 - - > the least positive value of p + 1 is 20 , so the least value of p is 19 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 19 + 16 = 35 . answer : a"
Answer: A