CEMC Pascal, 2008

Number theory Difficulty 2.0 Junior Find the answer Canada

Two 3-digit numbers, $abc$ and $def$ , have the following property:

$\begin{array}{r} abc \\ +\ def \\ \hline 1000 \end{array}$

None of $a, b, c, d, e,$ or $f$ is 0. What is $a+b+c+d+e+f$ ?

(A) $10$ (B) $19$ (C) $21$ (D) $28$ (E) $30$

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