If p and q are positive integers each greater than 1, and 17(p+1)=28(q+1), what is the least possible value of p+q?	Pick one.
A) 36 B) 42 C) 44 D) 43 E) none

Rationale: "17 ( p + 1 ) = 29 ( q + 1 ) - - > ( p + 1 ) / ( q + 1 ) = 28 / 17 - - > the least positive value of p + 1 is 28 , so the least value of p is 27 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 27 + 16 = 43 . answer : d"
Answer: D