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
17(p+1)=29(q+1) --&gt; (p+1)/(q+1) = 28/17 --&gt; 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 --&gt; the least value of p+q is   27+16= 
<gadget id="calculator">  27+16</gadget>
<output>43</output>
43.   Answer: 43
<result>D</result>
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?