Tom, Dick and Harry each chose a different 5-digit triangular number whose digits fell into the pattern THREE, where each different letter represents a different base-10 digit.

Dick's triangular number had no digit in common with either Tom's or Harry's.

What was Dick's number? What two triangular numbers did the other two choose?

There are nine 5-digit triangular numbers that fit the pattern THREE where each letter represents a different base-digit:

15400
17955
27966
40755
58311
75466
79800
84255
95266

Dick's triangular number is 27966.
Tom and Harry's triangular numbers are 15400 and 58311.

Posted by Dej Mar on 2008-10-22 06:50:50