If p and q are positive integers each greater than 1, and 15(p+1)=29(q+1), what is the least possible value of p+q?  Choose the most appropriate option
A) 36	B) 42	C) 44	D) 46	E) none

Rationale: 17 ( p + 1 ) = 29 ( q + 1 ) - - > ( p + 1 ) / ( q + 1 ) = 29 / 17 - - > the least positive value of p + 1 is 29 , so the least value of p is 28 and the least positive value of q + 1 is 15 , so the least value of q is 14 - - > the least value of p + q is 28 + 14 = 42 . answer : b .
Answer: B