self Maths Puzzle

ABCD
+CDAB
-----
BBBB
(What are the A,B,C & D)

Read Solution (Total 3)

Having so many possibilities, i think

One of those are,
A = 2 ; B = 3; C = 1; D = 0

ABCD+CDAB =BBBB
2310+1023 =3333
12 years agoHelpfull: Yes(2) No(1)

D can be zero only.
C+A = B.

If B=9, A=1,C=8,D=0
1980
8019
----
9999

If B=9, A=2,C=7,D=0, then 2970 + 7029 =9999
If B=9, A=3,C=6,D=0, then 3960 + 6039 =9999

..
..
so on.
12 years agoHelpfull: Yes(2) No(1)
Possibles Of A,B,C,D are

Possible 1 : A = 2 ; B = 3; C = 1; D = 0 (2310 + 1023 = 3333)
Possible 2 : A = 3 ; B = 4; C = 1; D = 0 (3410 + 1034 = 4444)
Possible 3 : A = 4 ; B = 5; C = 1; D = 0 (4510 + 1045 = 5555)
Possible 4 : A = 5 ; B = 6; C = 1; D = 0 (5610 + 1056 = 6666)
Possible 5 : A = 6 ; B = 7; C = 1; D = 0 (6710 + 1067 = 7777)
Possible 6 : A = 7 ; B = 8; C = 1; D = 0 (7810 + 1078 = 8888)
Possible 7 : A = 8 ; B = 9; C = 1; D = 0 (8910 + 1089 = 9999)
12 years agoHelpfull: Yes(2) No(1)

self Other Question

there are three people who go to a hotel. they have to pay rs.10 each for a room. afterwards they come to know that the rent is only 9rs. the waiter takes 3 rs from manager to return to them. but,he being dishonest takes away two rupees from it. now, if money would have been returned then, 3*9=27 rupees.two rupees are with waiter. then 27+2=29 rs. then where is that one rupee gone? In how many different ways can the letters of the word EDUCATION be arranged so that the vowels always come together?