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Three mirrored multiplications (Posted on 2017-04-02) Difficulty: 3 of 5
The alphametic
ABC*CBA = DEF*FED (i)
has 3 distinct (excluding symmetry) solutions.

Find them all.

Assume A being the smallest of all digits and D the smallest
on the right side of (i).

No Solution Yet Submitted by Ady TZIDON    
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Solution computer solution Comment 1 of 1
abc def     def fed
156 651     273 372
168 861     294 492
276 672     384 483


from

DefDbl A-Z
Dim crlf$


Private Sub Form_Load()
 Form1.Visible = True
 
 
 Text1.Text = ""
 crlf = Chr$(13) + Chr$(10)
 
 For a = 1 To 9
 For b = 0 To 9
 For c = 1 To 9
   abc = 100 * a + 10 * b + c: cba = 100 * c + 10 * b + a
   If abc < cba Then
        For d = 1 To 9
        For e = 0 To 9
        For f = 1 To 9
           def = 100 * d + 10 * e + f: fed = 100 * f + 10 * e + d
           If def > abc And fed > abc And def < fed And abc * cba = def * fed Then
              Text1.Text = Text1.Text & abc & Str(cba) & "     " & def & Str(fed) & crlf
           End If
           DoEvents
        Next
        Next
        Next
   End If
   DoEvents
 Next
 Next
 Next
 
  Text1.Text = Text1.Text & crlf & " done"
  
End Sub


  Posted by Charlie on 2017-04-02 12:40:21
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