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gmat prep1: problem solving question

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gmat prep1: problem solving question [#permalink] New post 18 May 2011, 20:41
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The sum of squares of 3 positive distinct integers x, y and z is 75. What is x+y+z?

A. 17
B. 16
C. 15
D. 14
E. 13 (Ans)

I had trouble solving this question. Is there a simple way to solve this?
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Re: gmat prep1: problem solving question [#permalink] New post 18 May 2011, 21:13
Concentrate on numbers close to 75,which are squares.

6^2, 7^2,8^2

out of this 7^2 = 49. 75-49 = 26
25+1 = 26

hence 7^2 + 5^2 + 1^2

7+5+1 = 13
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Re: gmat prep1: problem solving question   [#permalink] 18 May 2011, 21:13
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