A group of n students can be divided into equal groups of 4 with 2 student left over or equal groups of 5 with 2 students left over. What is the sum of the two smallest possible values of n?	Choose one
A) 33 B) 46 C) 49 D) 64 E) 86
4x+2 = 5y+2...........ie: 4x-5y = 0   x,y must be &gt;1 and y is even ie ( 2,4,6,..etc)   if y = 2 thus x is fraction   if y = 4 thus x =5 n =22   if y = 6 thus x = not possible fraction   if y =8 thus x = 10 n =42   n= 22+42= 
<gadget id="calculator">22+42</gadget>
<output>64</output>
64   64
<result>D</result>
A group of n students can be divided into equal groups of 4 with 2 student left over or equal groups of 5 with 2 students left over. What is the sum of the two smallest possible values of n?