簡單MATHS

2009-10-14 4:40 am
   ABCD

+  ADBC
________
    DCBA

我想知道:
A,B,C同D係咩數
只要放到個數入去計得岩就ok了
冇任何限制既
thx

回答 (4)

2009-10-14 9:14 am
✔ 最佳答案
the operation can be rewrite as the following format :

(1000A+100B+10C+D)+(1000A+100D+10B+C)=(1000D+100C+10B+A)

=>2000A+110B+11C+101D=1000D+100C+10B+A

=>1999A+100B-89C-899D=0

By subing different combination of prime number from 0 to 9 , we hv

A = 1, B = 6, C = 9, D = 2
2009-10-15 4:31 am
a=2
d=3
c=9
b=6
2009-10-14 7:01 am
(3) B+D+1=9
2009-10-14 5:04 am
(1) D+C=10+A
(2) C+B=B ...... therefore, C=9
(3) B+D=9
(4) A+A=D

Form (1) D+9=10+A ...... therefore, D =1+A

Solve (1) and (4) ...... A=1

Answer: A = 1, B = 6, C = 9, D = 2


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