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Ratio Resolution (Posted on 2011-06-15) Difficulty: 2 of 5
Each of x, y and z is a positive real number.

Determine the ratio x:y:z in each of the following equations.

(I) (x+z)/y = z/x = x/(z-y)

(II) 21(x2 + y2 + z2) = (x + 2y + 4z)2

No Solution Yet Submitted by K Sengupta    
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re(4): answers only- spoiler Comment 6 of 6 |
(In reply to re(3): answers only- spoiler by Charlie)

Trial and error. I couldn't find any proof of exhaustiveness though so didn't offer a solution initially.
  Posted by broll on 2011-06-21 03:50:05

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