(ABC)^2=CCCDE

(ABC)^2=CCCDE

Posers and Puzzles

Cookies help us deliver our Services. By using our Services or clicking I agree, you agree to our use of cookies. Learn More.

g
Wayward Soul

Your Blackened Sky

Joined
12 Mar 02
Moves
15128
13 Oct 02

(ABC)^2=CCCDE each letter stands for a different didgit, and C is
twice E. what does each letter stand for???

s

Joined
01 Dec 01
Moves
14745
13 Oct 02

a=2
b=9
c=8
d=0
e=4

right?

g
Wayward Soul

Your Blackened Sky

Joined
12 Mar 02
Moves
15128
13 Oct 02

that is correct, and a challenge to other people-why??? sintubin has
told us the answer, now you must tell us why!!!

Knock, Knock...?

Edinburgh, Scotland

Joined
18 Mar 02
Moves
46914
13 Oct 02

you got ur homework done alan is that not enough

David

g
Wayward Soul

Your Blackened Sky

Joined
12 Mar 02
Moves
15128
14 Oct 02

but i figured it out before i posted it here-and to prove it, i will give a
clue.
5*5=25
35*35= somethingaruther, but it will end in a 5...
7*7=49
37*37=somethingaruther, but it will end in a 7...
that is the clue. anyway-i e-mailed you the answer, jacko...

Knock, Knock...?

Edinburgh, Scotland

Joined
18 Mar 02
Moves
46914
14 Oct 02

i got no email

S
The Diplomat

Slightly Left :D

Joined
22 Jun 01
Moves
8518
25 Oct 02

Hmm..a double negative?

Dave
(Just poking fun)

l
Free Thinker

New York City

Joined
22 Mar 02
Moves
10815
14 Oct 02

Well, since C has to be twice E, the only single digits that are twice
another single digit are 2, 4, 6 and 8. No matter how many digits
there are in a number, if you square it, the last number is the last
digit of the square of the last digit of the number you're squaring.
(for example, the last digit of 559 squared must be 1, since 9x9 is
81). So the only number out of those four whose last digit of its
square is half the number itself is 8. Therefore, C must be 8, and E
must be 4.

After that I crapped out, you're left with possibilities: 88804, 88814,
etc., and I just plugged them into a calculator. Let me know if there's
a more elegant method for figuring out the other digits.

-legionnaire

s

Joined
01 Dec 01
Moves
14745
14 Oct 02

in this set of 10 (88804, 88814, ....) there can only be one number
that has an integer root. that is 88804.