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Sunday, July 27, 2008

Make Hundred

With the ciphers 1 up to 9 you must make 100, using the following rules:

* Each cipher must be used exactly once.
* The only allowed operation is addition.
* Two single ciphers may be combined to form a fraction (so, for example, 2 and 4 may be combined to 2/4 or 4/2).

The Question: How can this be done?


Answer: There are many solutions to this problem. Below, a few are listed:
1 + 2 + 4/6 + 5 + 7/3 + 89 = 100
12 + 6/3 + 75 + 8/4 + 9 = 100
1/6 + 2 + 4/8 + 7/3 + 95 = 100
24 + 57 + 6/3 + 8 + 9/1 = 100
36 + 4/8 + 51 + 7/2 + 9 = 100
3/2 + 5 + 6/8 + 7/4 + 91 = 100

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