If p and q are positive integers each greater than 1, and 17(p+1)=25(q+1), what is the least possible value of p+q?
Choose the correct choice from the following answers:  A) 36  B) 42  C) 40  D) 46  E) none
17(p+1)=29(q+1) --&gt; (p+1)/(q+1) = 29/17 --&gt; the least positive value of p+1 is 25, so the least value of p is 24 and the least positive value of q+1 is 17, so the least value of q is 16 --&gt; the least value of p+q is   24+16= 
<gadget id="calculator">  24+16</gadget>
<output>40</output>
40.   Answer: 40.
<result>C</result>
If p and q are positive integers each greater than 1, and 17(p+1)=25(q+1), what is the least possible value of p+q?