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Discounting one (Posted on 2018-01-10) Difficulty: 3 of 5
Any three of the integers {1, X, Y, Z} add up to a perfect square.

What are X, Y, & Z?

Hint: each is below 100.

No Solution Yet Submitted by Ady TZIDON    
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Solution re(3): The only way to do it. Confused | Comment 5 of 9 |
(In reply to re(2): The only way to do it. Confused by Charlie)

Revised the program.  These are the answers:


 1 1 14 34
 1 12 12 12
 1 22 41 58
 1 24 24 96

n(1) = 1
 For x = 1 To 100
   n(2) = x
 For y = x To 100
   n(3) = y
 For z = y To 100
   n(4) = z
   good = 1
   For a = 1 To 2
    For b = a + 1 To 3
     For c = b + 1 To 4
      sq = n(a) + n(b) + n(c)
      sr = Int(Sqr(sq) + 0.5)
      If sr * sr <> sq Then
        good = 0: Exit For
      End If
     Next
    Next
    If good = 0 Then Exit For
   Next
   If good Then
     For i = 1 To 4
       Text1.Text = Text1.Text & Str(n(i))
     Next
     Text1.Text = Text1.Text & crlf
   End If
   DoEvents
 Next
 Next
 Next

  Posted by Charlie on 2018-01-10 15:56:45
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