A group of n students can be divided into equal groups of 4 with 1 student left over or equal groups of 5 with 1 students left over. What is the sum of the two smallest possible values of n? Answers.
A) 33
B) 62
C) 49
D) 53
E) 86
4x+1 = 5y+ 1...........ie: 4x-5y 4 +1= 
<gadget id="calculator">4 +1</gadget>
<output>5</output>
5y+ 1...........ie: 4x-5y= 2   x,y must be &gt;1 and y is even ie ( 2,4,6,..etc)   if y = 2 thus x = fraction (not possible)   if y = 4 thus x =5 n =21   if y = 6 thus x = not possible fraction   if y =8 thus x = 10 n =41   21+41 = 62.....   62
<result>B</result>
A group of n students can be divided into equal groups of 4 with 1 student left over or equal groups of 5 with 1 students left over. What is the sum of the two smallest possible values of n?