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Three Concatenations (Posted on 2024-03-15) Difficulty: 3 of 5
Determine three positive integers A, B and C such that the concatenations AB, AC and BC are all squares, and the sum A+B+C is also a square.

  Submitted by K Sengupta    
Rating: 5.0000 (1 votes)
Solution: (Hide)
A=108, B= 16, C=900
AC= 108900 = 330^2
AB = 10816 = 104^2
BC= 16900= 130^2
and, A+B+C = 108+16+900 = 1024 = 32^2

For an explanation, refer to the solution submitted by Larry in this location.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: No SubjectK Sengupta2024-03-20 08:46:38
No SubjectVictoria Whitley2024-03-20 04:42:45
SolutionComputer solutionLarry2024-03-15 12:49:34
Solutioncomputer solutionCharlie2024-03-15 10:48:05
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