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Dennis wrote down a three digit number, The digit in the tens place is 2 more than the digit in the hundreds place. The digit in the ones place is 6less than the digit in the tens place. The digit in the hundreds place is odd number. What is the three digit number?

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  1. 793 OR 571

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    posted by PsyDAG
  2. t=digit in the tens place
    the number is then
    (t+2)t(t-6)

    If (t+2) is odd, so is t.
    t must be ≥ 6 or else t-6 is negative.
    so t could be 7 or 9
    But t cannot be greater than 7 (or else t+2 will have 2 digits)

    therefore the three-digit number must be 571.

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