A group of n students can be divided into equal groups of 4 with 1 student left over or equal groups of 7 with 2 students left over. What is the sum of the two smallest possible values of n? Choose the correct choice from the following
A) 42.  B) 46.  C) 50.  D) 54.  E) 58.
n = 4k+1 = 7j+2   Let's start at 1 = 4(0)+1 and keep adding 4 until we find a number in the form 7j+2.   1, 5, 9 = 7(1)+ 2   The next such number is 9 + 4*7= 
<gadget id="calculator">9 + 4*7</gadget>
<output>37</output>
37.   9+37= 
<gadget id="calculator">9+37</gadget>
<output>46</output>
46   The answer is 46..
<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 7 with 2 students left over. What is the sum of the two smallest possible values of n?