Look Alike
What number, when multiplied by 29, is the same; accept the addition of the same number at the beginnig and end of the number:
Example: ABC X 29=YABCY
(it doesn't necessarily have to be 3 numbers long)
Example: ABC X 29=YABCY
(it doesn't necessarily have to be 3 numbers long)
Labels: mathemagic, SharedPuzzle
posted by Eric at
11:20 AM
18 Comments:
isk 0000
idk 0
10 or any power of ten.
You add zero to the end, and you can add zero to the beginning as well without changing the value. :) Otherwise, I don't know. I ran a program that checked for such a number and it went to 9 million and couldn't find one.
I have no idea
Zeros do not count
And you have to multiply it by 29 so I don't see how you could get a zero in front of it
I don't know how you'd figure out something like this w/o writing a program to do it.. perhaps you could come up with some equations for all the rules..
regardless...
ABC * 29 = YABCY
52,631,579 * 29 = 1,526,315,791 (11526315791 1)
It's the only number between 1 and a billion that works..
52631579 is the answer,
in fact it is a nice question if somebody can prove that this is the only number that has this property.
Another nice number is:
52631578942152631579
try to multiply by 29 and see the difference ;)
Hint: The trick is long divisions by 19.
Ok, let me do the multiplication for you:
52631578942152631579*29=
526315789321526315791
I agree. You'd almost certainly need a program, and even then, to write one in a common language to handle up to a billion, that's asking a lot.
In any case, you were asking a question that is much more than I think the average person would be able to inquire about. Poor choice.
um.. bas..
52631578942152631579
* 29
-----------------------
=1526315789322426315791
That middle part in there does not match..
either that or my windows calculator is broken..
You are right euclid's brother,
i guess it was late at nigth.
I meant the following number:
526315789421052631579*29 =
15263157893210526315791
However, i insist strongly that this problem can be solved without computer aid. In fact it is only lucky that the solution is such a small number, it could equally likely have been a 17 digit number, in which case a computer aid would take weeks to find it, while a smart person has it within minutes.
PS. I am not a smart person, it took me about an hour :P
lol, it still doesn't match... XD COPY AND PASTE MY FRIEND
:D it is 10101
10101*29=292929
infact every 2 digit number (29,74,99) satisfies this answer
Of course it doesn't match, the 4 becomes a 3, but it is still a nice number, that's what i meant.
"Euclid's Brother said...
I don't know how you'd figure out something like this w/o writing a program to do it.. perhaps you could come up with some equations for all the rules..
regardless...
ABC * 29 = YABCY
52,631,579 * 29 = 1,526,315,791 (11526315791 1)
It's the only number between 1 and a billion that works.."
did you seriously do all billion?
XD
"Euclid's Brother said...
I don't know how you'd figure out something like this w/o writing a program to do it.. perhaps you could come up with some equations for all the rules..
regardless...
ABC * 29 = YABCY
52,631,579 * 29 = 1,526,315,791 (11526315791 1)
It's the only number between 1 and a billion that works.."
did you seriously do all billion?
XD
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