An annoying puzzle...

Aug 31, 2006 22:32



There's a keypad where I need to press 4 numbers in order to proceed. First, let's take a look at the keypad:

1 2 3
4 5 6
7 8 9

Okay, I was given clues on how to find all four numbers. Here's how it goes:

The first is greater than the second;
the second twice the third;
the third smaller than the fourth;
the fourth half the first.

Four of the numbers are not repeated
Three are not in the the top row
Two are not in the right row
One of the numbers is the final key

Okay, so I used variables to substitute the four numbers here (1=a, 2=b, 3=c 4=d) and came up with the formula below:

a > b
b = 2c
c < d
d = 1/2a

Now, it says four of the numbers are NOT repeated, meaning that the four numbers in the code won't have a repeating number. In short, they're all different.

Three are not in the top row:

1 2 3 makes the top row on the keypad

Two are not in the right row:

6 9 makes the right row

One of the numbers is the final key:

n = ?

----------------------------------

I'm trying not to cheat here. It's really scrambling my brain. I need the challenge anyway. Anyone want to take a stab at it?
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