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Dwelling upon the triangular numbers

  1. Feb 20, 2009 #1
    Each of Hank, Jim and Larry chose a different five-digit triangular number whose digits had the pattern DWELL, where each different letter represents a different base-10 digit. Jim's triangular number had no digit in common with either Hank's or Larry's.

    Determine the numbers chosen by each of the three individuals.

    Note: None of the numbers can contain any leading zero.
     
  2. jcsd
  3. Feb 20, 2009 #2
    There are two solutions
    Jim = 27966
    Hank = 15400
    Larry = 58311

    -and-

    Jim = 27966
    Hank = 58311
    Larry = 15400
    I used brute force to solve this.
     
  4. Feb 20, 2009 #3

    Gokul43201

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    jimmy, you've been brutal today.
     
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