If y/(x - z) = (y + x)/z = x/y then find z : y : x ? 1:2:3 3:2:4 4:3:2 2:3:4 Giv

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Question
If y/(x - z) = (y + x)/z = x/y then find z : y : x ?
Options
A. 1:2:3
B. 3:2:4
C. 4:3:2
D. 2:3:4

Correct Answer

3:2:4

Explanation

Given, y/(x - z) = (y + x)/z = x/y
$y z = x y + x^{2} - y z - x z . . . . (1)$
Also $\frac{x}{y} = \frac{y}{x - z}$ $? x^{2} - x z = y^{2} . . . . (2)$
Using (1) and (2), we get yz = xy - yz + $y^{2}$
2yz = xy + $y^{2}$
2z = x + y
Only option (B) satisfies the equation.

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