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

 e pluribus unum ii (Posted on 2004-01-22)
Below are three groups of three numbers each. Combine the numbers in each group using the standard binary operations (addition, subtraction, multiplication, division, and exponentiation) so that each group yields the same number.
1. 3, 15, 18
2. 10, 13, 36
3. 24, 27, 39

For an example, see the first problem.

 See The Solution Submitted by DJ Rating: 4.6667 (6 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
 re: Attempt at a computer solution -- results | Comment 2 of 12 |
(In reply to Attempt at a computer solution by Charlie)

These are the matches that were found by the program that matched up the output from the program given:

```
result                  eqtn. assoc

-12                           2  2 36 / (10 - 13)

-12                           3  2 24 / (27 - 29)

-39                           1  2  3 *  (5 - 18)

-39                           2  1 (10 - 13) - 36

-8.333333333333333D-02        2  1 (10 - 13) / 36

-8.333333333333333D-02        3  1 (27 - 29) / 24

-87                           1  2  3 - (18 *  5)

-87                           3  1 (24 - 27) * 29

12                           2  2 36 / (13 - 10)

12                           3  2 24 / (29 - 27)

26                           1  2 18 +  (5 +  3)

26                           3  1 (24 - 27) + 29

33                           1  2 18 +  (5 *  3)

33                           2  1 (10 - 13) + 36

39                           1  2  3 * (18 -  5)

39                           2  1 (13 - 10) + 36

59                           1  2  5 + (18 *  3)

59                           2  1 (10 + 13) + 36

8.333333333333333D-02        2  1 (13 - 10) / 36

8.333333333333333D-02        3  1 (29 - 27) / 24

87                           1  1 (18 *  5) -  3

87                           3  1 (27 - 24) * 29

```

--------
The eqtn. column identifies the set of numbers used, and the assoc column lists which operator was done first. I've put parentheses around those, even when not needed, for clarity.
 Posted by Charlie on 2004-01-22 11:32:29

 Search: Search body:
Forums (0)