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# ps:sum

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Senior Manager
Joined: 22 Jun 2005
Posts: 363
Location: London
Followers: 1

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27 Mar 2006, 14:41
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The number 75 can be written as the sum of the squares of 3 different positive numbers. What is the sum of these 3 integers?

13, 14, 15, 16, or 17

Is there an easy way to solve this?
Manager
Joined: 20 Mar 2005
Posts: 201
Location: Colombia, South America
Followers: 1

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27 Mar 2006, 15:42
macca wrote:
The number 75 can be written as the sum of the squares of 3 different positive numbers. What is the sum of these 3 integers?

13, 14, 15, 16, or 17

Is there an easy way to solve this?

x+y+z = ?

x^2 + y^2 + z^2 = 75

1 = 1
2 = 4
3 = 9
4 = 16
5 = 25
6 = 36
7 = 49
8 = 64

49+25+1 = 75
7+5+1 = 13

I don't know any better way to handle it
Re: ps:sum   [#permalink] 27 Mar 2006, 15:42
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