All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars
 perplexus dot info

 Fill in the Blanks (Posted on 2004-07-18)
Make the following equation correct by filling the blanks with the digits 0-9 (the 7 and 5 have been already placed for you):
``` 7     _ _     _ _
─── = ───── + ─────
_     _ _     _ 5
```

 See The Solution Submitted by Aaron Rating: 2.0000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
 computer brute force (spoiler present)... | Comment 1 of 6

... finds:

`7      =      39      +     602             18            45`

using:

DECLARE SUB permute (a\$)
DEFDBL A-Z
CLS
a\$ = "01234689": h\$ = a\$
n1 = 7
DO
d1 = VAL(MID\$(a\$, 1, 1))
n2 = VAL(MID\$(a\$, 2, 2))
d2 = VAL(MID\$(a\$, 4, 2))
n3 = VAL(MID\$(a\$, 6, 2))
d3 = VAL(MID\$(a\$, 8, 1) + "5")
dTot = d2 * d3 ' too lazy to put in LCM routine
nTot = n2 * d3 + n3 * d2
IF d1 * nTot = n1 * dTot THEN ' cross-multiply
PRINT n1, n2, n3
PRINT d1, d2, d3
END IF
permute a\$
LOOP UNTIL a\$ = h\$

where the subroutine permute has been shown elsewhere on the site.

 Posted by Charlie on 2004-07-18 10:53:03

 Search: Search body:
Forums (0)