 All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars  perplexus dot info  Cash and chit (Posted on 2014-12-15) In this puzzle there is a one-to-one correspondence between
10 distinct letters and the digits 0 to 9.
In the set of equations below both str1 and str2
are strings of 4 digits:

Given:
sqrt(str1 str2) = chit
and
sqrt(str2 str1) = cash

If 10265102493 is a valid English word, how much
( complying with the puzzle's coding) is q*z ?

Rem: sqrt(str1 str2) is a square root of an 8 digit number represented by a concatenation of the strings in the brackets.

 No Solution Yet Submitted by Ady TZIDON No Rating Comments: ( Back to comment list | You must be logged in to post comments.) computer solution Comment 1 of 1
For c = 1 To 9
used(c) = 1
For h = 0 To 9
If used(h) = 0 Then
used(h) = 1
For a = 0 To 9
If used(a) = 0 Then
used(a) = 1
For t = 0 To 9
If used(t) = 0 Then
used(t) = 1
For i = 0 To 9
If used(i) = 0 Then
used(i) = 1
chit = 1000 * c + 100 * h + 10 * i + t
sq1 = chit * chit
If sq1 > 9999999 And sq1 < 100000000 Then
For s = 0 To 9
If used(s) = 0 Then
used(s) = 1
cash = 1000 * c + 100 * a + 10 * s + h
sq2 = cash * cash
If sq2 > 9999999 And sq2 < 100000000 Then
st1\$ = LTrim(Str(sq1))
st2\$ = LTrim(Str(sq2))
If Left(st1\$, 4) = Right(st2\$, 4) And Left(st2\$, 4) = Right(st1\$, 4) Then
Text1.Text = Text1.Text & st1\$ & "   " & st2\$ & crlf
Text1.Text = Text1.Text & cash & Str(chit) & crlf
DoEvents
End If
End If
used(s) = 0
End If
Next
End If
used(i) = 0
End If
Next

used(t) = 0
End If
Next
used(a) = 0
End If
Next
used(h) = 0
End If
Next
used(c) = 0
Next

finds

`92968164   81649296  (squares)9036 9642          (cash and chit)`
done

so:

`1ath51aticsmathematics`

Unassigned digits available for z and q are 7 and 8.

7*8=56

 Posted by Charlie on 2014-12-15 13:47:25 Please log in:

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