help me

First, 明顯 D must be 0 (D + D 仍是 D)
Second, E must be 1 (1個4位數乘2 必定少於2萬)
問題可以簡化為 ABC0+ABC0=1BCA0 --> 再簡化為 ABC+ABC=1BCA

將問題改寫成 200a+20b+2c=1000+100b+10c+a
簡化後 : 199a-80b-8c=1000

因a,b,c 都是正的整數, 199a 必定大於1000, 故a 可以是6,7,8 or 9
若a=6, 80b-8c=199x6-1000=194 --> 10b-c=24.25
因b,c 是整數, 10b-c亦必定是整數 --> 有矛盾, 所以a 不會等於6
同理, a 亦不會等於 7 或 9
所以a 一定是 8, 問題變為 : 8x199-80b-8c=1000 --> 10b+c=74
因b,c 為個位數, 所以b=7, c=4

答案: A是8, B是7, C是4, D是0, E是1

A = 8
B = 7
C = 4
D = 0
E = 1

8740 + 8740 = 17480

A=8
B=7
C=4
D=0
E=1

8740
+ 8740
----------
17480

2006-11-23 14:11:41 補充：
very funny. I first reply with correct answer is not chosen as the best reply. However, those copying other answer is selected as the best answer????