Arrange the digits 1-9 so that the first 3 form a number that is 1/3 of the number formed by the last three and the three digits in the middle form a number that is the difference between them.

The numbers are as they appear, not summed.

... four solutions:

192  384  576
219  438  657
273  546  819
327  654  981

CLS
a$ = "123456789": h$ = a$
DO
  n1 = VAL(LEFT$(a$, 3))
  n2 = VAL(MID$(a$, 4, 3))
  n3 = VAL(RIGHT$(a$, 3))
  IF n3 = 3 * n1 AND n2 = n3 - n1 THEN
    PRINT n1; n2; n3
  END IF
  permute a$
LOOP UNTIL h$ = a$

Posted by Charlie on 2005-07-21 16:15:01