Sum of digits

Question

Let K be the smallest positive integer that has digits that sum to 2016. What is the sum of the digits in the number (K + 5)?

A) 5   B) 6   C) 8   D) 9   E) 12

Answer 1

If the sum of the digits of K is 2016 then the sum of the digits of K + 5 is 2016 + 5! (Am I missing something?)

BTW, the smallest number K whose digits sum to 2016 is

99,999,999,999,999,999,999,999,999,999,999,999,999,999,999,999,999,999,999,999,999,999,999,999,999,999,999,999,999,999,999,999,999,999,999,999,999,999,999,999,999,999,999,999,999,999,999,999,999...until you get 224 9's.