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Its positional place value is 30 = thirty

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If you are a three digit number and your hundreds digit is one-third of your tens digit and your tens digit is one-third your ones digit then what number are you?

We have the relationship h = 1/3t, t = 1/3o, where h represents the hundred's digit, t represents the ten's digit, and o represents the unit's digit of the number. By substitution we get that h = 1/9o or o = 9h. The only possible solution among the digits {0, 1, 2, ..., 9} is o = h = 0 which leads to the number 000 which is not a three digit number, and o = 9, h = 1. It then follows that t = 1/3(9) = 3.Thus, the number is 139.


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