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?  Choose the correct choice from the following choices:
A) 36  B) 42  C) 44  D) 46  E) none
17(p+1)=21(q+1) --&gt; (p+1)/(q+1) = 21/17 --&gt; 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 --&gt; the least value of p+q is   20+16= 
<gadget id="calculator">  20+16</gadget>
<output>36</output>
36.   36nswer: 36.
<result>A</result>
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?