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

Hint: 625350 is a valid English word.

Find this word.

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 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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