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Numbered Words (Posted on 2011-11-04) Difficulty: 3 of 5
Suppose A=1, B=2, C=3, ..., Z=26. Then, ETUDE is an interesting word. It has 5 letters, it starts and ends with the 5th letter of the alphabet, and E+T+U+D+E=5+20+21+4+5=55. What other words both start and end with the Xth letter of the alphabet and add up to XX, where X is the number of letters in the word and XX is X concatenated with X? (For ETUDE, X=5.)

See The Solution Submitted by Math Man    
Rating: 4.0000 (1 votes)

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Solution computer solution Comment 2 of 2 |

My word list is less extensive than Dej Mar's:

etude          55
exile          55
gasting        77
gawping        77
gorging        77
griming        77
hyacinth       88
 

OPEN "\words\words.txt" FOR INPUT AS #1
DO
 LINE INPUT #1, w$
 w$ = LCASE$(w$)
 IF LEFT$(w$, 1) = RIGHT$(w$, 1) THEN
   l = LEN(w$)
   totV = 0
   FOR i = 1 TO l
     v = INSTR("abcdefghijklmnopqrstuvwxyz", MID$(w$, i, 1))
     totV = totV + v
     IF i = 1 AND v <> l THEN totV = 0: EXIT FOR
   NEXT
   IF totV > 0 THEN
     v1 = totV \ 10
     v2 = totV MOD 10
     IF v1 = l AND v2 = l THEN
        PRINT w$, totV
     END IF
   END IF
 END IF
LOOP UNTIL EOF(1)

 

  Posted by Charlie on 2011-11-04 17:12:17
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