Tuesday, January 26, 2010

Squared Sets

In a set containing 3 numbers, each is squared, the squares are added, and the total is 139.

In another set containing 6 numbers, each is squared, and added for a total of 139.

(a number may appear in both sets)


Identify and list both number sets.

9 Comments:

Anonymous Paddy said...

set 1: 9, 7, 3 ( 81+49+9=139)
set 2: 2, 3, 4, 5, 6, 7

gotta love trial and error ;)

January 26, 2010 6:46 PM  
Anonymous Zaux said...

Hi Paddy ... you are right
nice ... uh, trial and error... heh heh

January 26, 2010 6:57 PM  
Blogger Ragknot said...

9+49+81=139

4+9+16+25+36+49=139

January 26, 2010 9:42 PM  
Blogger Ragknot said...

Also

1+4+9+25+36+64=139

January 26, 2010 9:45 PM  
Blogger Chris said...

9,9,121
1,4,9,9,16,100

I'm taking set rather loosely

January 26, 2010 10:21 PM  
Blogger Ragknot said...

1+ 16+ 25+ 25+ 36+ 36= 139
4+ 9+ 16+ 25+ 36+ 49= 139
1+ 1+ 16+ 36+ 36+ 49= 139
9+ 9+ 16+ 16+ 25+ 64= 139
1+ 4+ 9+ 25+ 36+ 64= 139
1+ 1+ 1+ 36+ 36+ 64= 139
4+ 4+ 9+ 9+ 49+ 64= 139
1+ 9+ 16+ 16+ 16+ 81= 139
4+ 4+ 9+ 16+ 25+ 81= 139
1+ 1+ 4+ 16+ 36+ 81= 139
1+ 4+ 9+ 9+ 16+ 100= 139

January 26, 2010 11:12 PM  
Blogger Chris said...

Nice one Ragknot. I assume that there aren't (m)any more for sets of three. Would I be right (or wrong)?

January 26, 2010 11:23 PM  
Blogger Mirel said...

6.244997998398398, 7.745966692414834, 6.324555320336759 so the possibilities are endless (never mentioned what type of numbers)

January 27, 2010 3:13 AM  
Anonymous Anonymous said...

You people are too smart for me.

January 27, 2010 3:33 PM  

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