perplexus.info :: Numbers : Five of a Kind

Five of a Kind (Posted on 2003-08-28)

A puzzle book challenged its readers to form an expression using five threes and basic mathematical symbols to come up with 37.
The answer was found simply enough:

33 + 3 + 3/3 = 37.

Find another way to do this.
The same puzzle book posed the problem of finding 55 using five fours and any mathematical symbols.
That is also easily accomplished by:

44 + 44/4 = 55.

Find another way to do this one, as well.

Submitted by DJ

Rating: 4.1250 (8 votes)

Solution: (Hide)

333÷(3×3) = 37
or
3!×3!+(3÷3)³ = 37

4!+4!+(4!+4)÷4 = 55
or
√4(4!+4)-4÷4 = 55
Other people offered alternative solutions using .3 or .4; these can be found in the comments.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
If anybody is interested...	pcbouhid	2008-06-12 12:25:42
some thoughts	K Sengupta	2007-05-23 11:47:29
No Subject	Dej Mar	2006-05-11 06:06:25
re(2):(fundamental symols)2	Dacre	2003-09-03 04:56:06
re:(fundamental symols)2	Lee	2003-08-30 07:05:04
re: fundamental symbols?	DJ	2003-08-29 16:17:48
Another Approach	retiarius	2003-08-29 11:46:04
fundamental symbols?	Lee	2003-08-29 00:59:06
re: Full Solution	Dacre	2003-08-28 12:30:52
3 threes and 2 fours	Hans	2003-08-28 11:27:28
a couple more "five four" solutions	Your buddy	2003-08-28 11:03:17
Full Solution	Your buddy	2003-08-28 10:45:45
Solution	retiarius	2003-08-28 10:42:24
Question	Dacre	2003-08-28 10:00:41
Solution to 3s	Dacre	2003-08-28 09:43:32

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