unreality Posted October 2, 2007 Report Share Posted October 2, 2007 Some Basic Things ~~~~~~~~~~~~~~~~~~~ For bases higher than 10: A = 10 B = 11 C = 12 and so on ... Z = 35 for base 36 ~~~~~~~~~~~~~~~~~~~~~~~~~~~ Left sides of equations are almost always gonna be calculations in base 10, resulting in the result on the other side ~~~~~~~~~~~~~~~~~~~~~~~~~~~ Lets say x=5 3x2 is the number 352, not 3•2 and not 3•5•2 4x is 45, not 4•x Thus if it is a digit placeholder, it's gonna be a single digit Let's say x is 9 and you have xx, that would be 99 However if its a variable, it could be any number, like 7,265.384 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 4x+2 = xx 1. What is x? 2. What base is the right side in? Quote Link to comment Share on other sites More sharing options...
0 Guest Posted October 2, 2007 Report Share Posted October 2, 2007 This type of math problem is not a brain teaser in the classical sense. Post these type of problems in 'Others' from now on. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted October 3, 2007 Report Share Posted October 3, 2007 Some Basic Things 4x+2 = xx 1. What is x? 2. What base is the right side in? X is 6, which makes the left hand side to be 48. 48 in base 7 is 66. Quote Link to comment Share on other sites More sharing options...
0 unreality Posted October 3, 2007 Author Report Share Posted October 3, 2007 You're quick! Quote Link to comment Share on other sites More sharing options...
0 unreality Posted October 6, 2007 Author Report Share Posted October 6, 2007 1x•x/2= C What is x? Quote Link to comment Share on other sites More sharing options...
0 Guest Posted October 6, 2007 Report Share Posted October 6, 2007 (10+X) (X/2) = 12 (in base 10) ==> X^2+10X-24 = 0 X = -12 or X = 2. As X is a place holder for a digit (should be b/n 0 and 9), X = 2. Quote Link to comment Share on other sites More sharing options...
0 unreality Posted October 7, 2007 Author Report Share Posted October 7, 2007 Yep. 12*1=12 And btw, X could be higher than 9 if the base is higher than base 10, even tho its not in this case, it can be (look at "C"). Obviously a single digit cant be negative unless thats the only digit in the number, so it has to be 2 Quote Link to comment Share on other sites More sharing options...
0 Guest Posted October 7, 2007 Report Share Posted October 7, 2007 And btw, X could be higher than 9 if the base is higher than base 10, even tho its not in this case, it can be (look at "C"). Obviously a single digit cant be negative unless thats the only digit in the number, so it has to be 2 Well, not in your case. Because you already made it clear that the number in the left side is in base 10. You cannot have "C" or whatever symbol in base 10. Quote Link to comment Share on other sites More sharing options...
0 unreality Posted October 7, 2007 Author Report Share Posted October 7, 2007 I know, that's what i said "not in this case" but it is possible to be a placeholder for a higher numbe, like A,B,C,etc how bout u give me a problem now? lol you're better at this than me Quote Link to comment Share on other sites More sharing options...
0 Guest Posted October 8, 2007 Report Share Posted October 8, 2007 I enjoyed your puzzles ... currently, I don't have such puzzles, but will do something in the future. Quote Link to comment Share on other sites More sharing options...
Question
unreality
Some Basic Things
~~~~~~~~~~~~~~~~~~~
For bases higher than 10:
A = 10
B = 11
C = 12 and so on
...
Z = 35 for base 36
~~~~~~~~~~~~~~~~~~~~~~~~~~~
Left sides of equations are almost always gonna be calculations in base 10, resulting
in the result on the other side
~~~~~~~~~~~~~~~~~~~~~~~~~~~
Lets say x=5
3x2 is the number 352, not 3•2 and not 3•5•2
4x is 45, not 4•x
Thus if it is a digit placeholder, it's gonna be a single digit
Let's say x is 9 and you have xx, that would be 99
However if its a variable, it could be any number, like 7,265.384
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
4x+2 = xx
1. What is x?
2. What base is the right side in?
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