Number Formation Puzzles

Combine the three numbers in each group to get the same result in each of the three groups. You can use addition, subtraction, multiplication, division, and exponentiation. Here's an example of a solved puzzle:

Group 1:15, 19, 24
Group 2:11, 30, 36
Group 3:20, 22, 36

Group 1:24 / (19 - 15) = 6
Group 2:(30 + 36) / 11 = 6
Group 3: 20 + 22 - 36 = 6

Each puzzle below has a unique solution. All puzzles copyright Erich Friedman, 2002.


1.  Group 1:1, 6, 11 2.  Group 1:3, 15, 18 3.  Group 1:9, 24, 28
Group 2:13, 20, 33 Group 2:10, 13, 36 Group 2:13, 24, 32
Group 3:20, 33, 40 Group 3:24, 27, 39 Group 3:24, 25, 48

4.  Group 1:8, 15, 16 5.  Group 1:6, 18, 20 6.  Group 1:5, 18, 25
Group 2:14, 23, 38 Group 2:21, 27, 30 Group 2:14, 15, 23
Group 3:21, 24, 36 Group 3:31, 45, 46 Group 3:30, 42, 49

7.  Group 1:1, 18, 26 8.  Group 1:2, 17, 23 9.  Group 1:4, 5, 9
Group 2:19, 22, 23 Group 2:13, 18, 26 Group 2:2, 23, 24
Group 3:20, 45, 50 Group 3:23, 24, 36 Group 3:27, 29, 50

10.  Group 1:5, 14, 15 11.  Group 1:2, 8, 18 12.  Group 1:4, 15, 17
Group 2:17, 19, 34 Group 2:27, 33, 40 Group 2:2, 25, 26
Group 3:20, 34, 37 Group 3:29, 32, 49 Group 3:24, 42, 44

13.  Group 1:5, 14, 15 14.  Group 1:10, 13, 20 15.  Group 1:5, 6, 23
Group 2:15, 16, 40 Group 2:22, 28, 38 Group 2:14, 22, 32
Group 3:36, 43, 49 Group 3:21, 37, 44 Group 3:32, 46, 47

16.  Group 1:2, 5, 24 17.  Group 1:1, 3, 30 18.  Group 1:6, 10, 26
Group 2:15, 35, 39 Group 2:16, 20, 24 Group 2:18, 23, 26
Group 3:21, 35, 46 Group 3:25, 38, 43 Group 3:23, 36, 46

19.  Group 1:4, 6, 16 20.  Group 1:14, 16, 18 21.  Group 1:2, 5, 14
Group 2:14, 21, 39 Group 2:18, 22, 33 Group 2:17, 29, 34
Group 3:21, 24, 42 Group 3:33, 37, 48 Group 3:46, 48, 49

22.  Group 1:3, 17, 21 23.  Group 1:2, 5, 14 24.  Group 1:2, 3, 20
Group 2:16, 20, 34 Group 2:10, 29, 38 Group 2:2, 20, 24
Group 3:27, 30, 39 Group 3:31, 37, 43 Group 3:21, 33, 44


See the solutions.

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