【Solution】Solution: According to the problem, the sum of a two-digit number and a three-digit number is 1079
$$
\begin{array}{l}
\therefore c=9, a+d=17, b+e=9, \\
\therefore a+b+c+d+e=35 .
\end{array}
$$

Therefore, the answer is: 35.
14. (6 points) $\overline{\mathrm{ab}}, \overline{\mathrm{cde}}$ represent a two-digit number and a three-digit number respectively. If $\overline{\mathrm{ab}}+\overline{\mathrm{cde}}=1079$, then $a+b+c+d+e=$

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14. (6 points) $\overline{\mathrm{ab}}, \overline{\mathrm{cde}}$ represent a two-digit number and a three-digit number respectively. If $\overline{\mathrm{ab}}+\overline{\mathrm{cde}}=1079$, then $a+b+c+d+e=$