5. (7 points) It is known that in the following two equations, the same letter represents the same digit, and different letters represent different digits. Then, the value of $A+B+C+D+E=$ $\qquad$ 

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【Solution】Solution: According to the problem, from the second addition vertical expression, we can get $C=1$. In the first addition vertical expression, $C+E=4$, so $E=4-C=4-1=3$. In the second addition vertical expression, $B+E=7$, so $B=7-E=7-3=4$. In the first addition vertical expression, $B+D=6$, so $D=6-B=6-4=2$. Therefore, $A=6$. So $A+B+C+D+E=6+4+1+2+3$ $=16$.

Therefore, the answer is: 16.