Dwelling upon the triangular numbers

K Sengupta

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.

Jimmy Snyder

Spoiler

There are two solutions
Jim = 27966
Hank = 15400
Larry = 58311

-and-

Jim = 27966
Hank = 58311
Larry = 15400

I used brute force to solve this.

Gokul43201

jimmy, you've been brutal today.

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Jimmy Snyder Blog Entries: 1 Recognitions: Gold Member	Spoiler There are two solutions Jim = 27966 Hank = 15400 Larry = 58311 -and- Jim = 27966 Hank = 58311 Larry = 15400 I used brute force to solve this.

Gokul43201 Recognitions: Gold Member Science Advisor Staff Emeritus	jimmy, you've been brutal today.