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Avoid ambiguity (Posted on 2011-10-12) Difficulty: 4 of 5
20+20+30=70
Spell out the words and solve the alphametics.

Hint: 625350 is a valid English word.

Find this word.

No Solution Yet Submitted by Ady TZIDON    
Rating: 4.0000 (1 votes)

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Solution computer solution | Comment 1 of 2
 twenty + twenty + thirty = seventy
 546250   546250   593750   1686250
 546750   546750   593250   1686750
 
  r
 entity
 625350
 


 The word is "entity" and the alphametic solution is
 
 546250 + 546250 + 593750 = 1686250
 
 DEFDBL A-Z
 CLS
 FOR t = 1 TO 9
  IF used(t) = 0 THEN
   used(t) = 1: u$(t) = "t"
 FOR s = 1 TO 9
  IF used(s) = 0 THEN
   used(s) = 1: u$(s) = "s"
 FOR w = 0 TO 9
  IF used(w) = 0 THEN
   used(w) = 1: u$(w) = "w"
 FOR e = 0 TO 9
  IF used(e) = 0 THEN
   used(e) = 1: u$(e) = "e"
 FOR n = 0 TO 9
  IF used(n) = 0 THEN
   used(n) = 1: u$(n) = "n"
 FOR y = 0 TO 9
  IF used(y) = 0 THEN
   used(y) = 1: u$(y) = "y"
   twenty = t * 100010 + w * 10000 + e * 1000 + n * 100 + y
 FOR i = 0 TO 9
  IF used(i) = 0 THEN
   used(i) = 1: u$(y) = "i"
 FOR h = 0 TO 9
  IF used(h) = 0 THEN
   used(h) = 1: u$(y) = "h"
 FOR r = 0 TO 9
  IF used(r) = 0 THEN
   used(r) = 1: u$(y) = "r"
   thirty = t * 100010 + h * 10000 + i * 1000 + r * 100 + y
 FOR v = 0 TO 9
  IF used(v) = 0 THEN
   used(v) = 1: u$(v) = "v"
   seventy = s * 1000000 + e * 101000 + v * 10000 + n * 100 + t * 10 + y
   IF 2 * twenty + thirty = seventy THEN
    PRINT twenty; thirty, seventy
   END IF
   used(v) = 0
  END IF
 NEXT
   used(r) = 0
  END IF
 NEXT
   used(h) = 0
  END IF
 NEXT
   used(i) = 0
  END IF
 NEXT
   used(y) = 0
  END IF
 NEXT
   used(n) = 0
  END IF
 NEXT
   used(e) = 0
  END IF
 NEXT
   used(w) = 0
  END IF
 NEXT
   used(s) = 0
  END IF
 NEXT
   used(t) = 0
  END IF
 NEXT
 

 


  Posted by Charlie on 2011-10-12 14:59:56
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