The sum of 111 consecutive integers is 11211. What is the greatest integer in the set? Choose the correct answer:  A) 148  B) 150  C) 152  D) 154  E) 156
Let x be the first integer in the set, then x+110 is the largest integer.   The sum is: x+(x+1)+(x+2)+...+(x+110)   = 111x + 110*111/2   = 111(x+55)   Then x+55=101   x=46   The largest integer in the set is  46+110= 
<gadget id="calculator"> 46+110</gadget>
<output>156</output>
156   The answer is 156.
<result>E</result>
The sum of 111 consecutive integers is 11211. What is the greatest integer in the set?