math

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?

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asked by jude
  1. .189
    .178
    .156
    .145
    .134
    .123

    Which do you want to use?

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    posted by PsyDAG
  2. 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

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    posted by Steve
  3. 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."

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    posted by PsyDAG
  4. Dang. Don't know what I was thinking.

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    posted by Steve
  5. 2.134

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    posted by jude

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