SOLUTION: A mathematician was forgetting his password. However he has great memory for anything numerical so hd created a password in the gorm of ABCDE where A, B, C, D and E are digits. Us

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Question 1070474: A mathematician was forgetting his password. However he has great memory for anything numerical so hd created a password in the gorm of ABCDE where A, B, C, D and E are digits. Use the clues belos to figure out the mathematicians password.
five digits are positive unique and none prime.
even and odd digits alternate.B, C and D are square numbers.
A+D=B

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
There are 9 positive digits.
Of those, 2, 3,5,and 7 are prime.
The other 5 are 1,4,6,8, and 9.

Since even and odd digits alternate,
and the 5 digits must be
even digits 4, 6, and 8,
and odd digits 1 and 9,
the even digits must be A, C, and E,
while B and D are 1 and 9.
Since A+D=E, with E being a digit, D cannot be 9,
so it has to be highlight%28D=1%29, and highlight%28B=9%29 .
Then A%2BD=B means A%2B1=9 --> A=9-1 --> highlight%28A=8%29 .

Of the 9 available digits exactly 3 are square,
1=1%5E2 ,
4=2%5E2 ,
9=3%5E2 .
Those will be the middle digits, B, C, and D.
SinceB=9 and D=1 , it must be highlight%28C=4%29 .
By elimination,
highlight%28E=6%29 .
The 5-digit password is
highlight%28ABCDE=89416%29