# math

posted by .

I am a decimal between 2 and 3. The digit in my thousandths place is the sum of the digits in my tenths and hundredths place. The digit in my tenths place is the difference of the digits in my thousandths and hundredths place. The digit in my hundreths place is one less than the digit in my thousansths place. What decimal number I am?

• math -

.189
.178
.156
.145
.134
.123

Which do you want to use?

• math -

what's the trouble? Just start working in the clues. The number is

2.abcdefg...
c = a+b
b = c-a (well, duh)
b = c-1
It appears that the number is just
2.abc
c = a+c-1
a = 2c+1
Now, since a < 10, c < 5
So, if a = 0,1,2,3,4
then c = 1,3,5,7,9
and b = 1,2,3,4,5

So, we could have

2.011
2.123
2.235
2.347
2.459

If you don't want to allow repeated digits, then the only choices are

2.347
2.459

• math -

Most of Steve's answers do not fit the requirement of "The digit in my hundreths place is one less than the digit in my thousansths place."

• math - ouch -

Dang. Don't know what I was thinking.

• math -

2.134