A palindrome number is one which would have the same value if it were turned front to back. The numbers 12,321 and 5,775 are examples.
Problem: Find a palindrome number x such that
where if A is the first digit of x, B is the second digit, and C is the third digit of x, then
36 comments:
I know a good way to start...A can not be a 9 or 8 because 9 is not less than 8 and even though 8 is less than 9, 9 is not less tahn any thing else. That wouldn't leave anything possible for the third digit. (89?)
So, doesn't "A" have to be only 7 at the most since "A" is less than two other numbers?
I mean "A" has to be 7 OR LESS...
So maybe I can start trying numbers that begin with 6. (And then they would also have to end in a 6 if they are a palindrome)
Now I have a question: If I wanted to represent the number x with the digits A,B and C, would it be ABCCBA?
Also, couldn't A be 7 actually? Why are you starting with numbers that start with 6?
OK, so that was really TWO questions...
YES! That is what I think too :)
Do you think there is more than one answer for this question?
maybe?
Well, I know that 3*3 + 4*4 is 9+16=25 which is 5*5 so that is an option for A,B and C but is that the only set of numbers that will work?
This is a pretty hard problem, you really have to sit and think.
A chart can gelp to figure it out.
and i dont think that there is more than one answer
I think it is 345,543. Does that check with all of the clues?
That's what I got too!
i also think that's the answer.
cant it also be 545,545?
It is a palindrome, Sivan, but it doesn't satisfy one of the requirements. Do you see which one?
this is confusing
could it 899998?
let me think
the numbers at the beginning and end have to be the same
ok
i just double-checked and it's right!!!! :)
this is a cool problem dont you agree
very very confusing
it is also very hard
You really have to be a smart cookie for that problem.
It is so confusing u wouldnt know where to start?!
dont start trying all kinds of random numbers...
i started doing that and didnt get anywhere.
also remeber that the first number has to be smaller than the second number and that the second number has to be smaller than the third number. 656,656 wouldn;t work because 6 is bigger than 5.
344,443 wouldn't work either because 4 and 4 r the same numbers.
it's to hard
I found out that the answer really is 345543 it all works out. See for yourself. It took a good space of scrap paper but it finally fit. I totally agree with Mrs. Cooper.
It is hard but possible...
I never thought I would get it but I did. yahoooo
I think that the answer is also 345543 so good job to every body that got 345543
Man we all wonder why they are so hard in the first place. When I was trying to figure it out it hurt my head. Lots of brain work....
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