If y x z y x z x y then find z y x ........

Quantitative Aptitude ( CCS) Ratio, Proportion

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

Given, y/(x - z) = (y + x)/z = x/y
yz = xy + x² − yz − xz ....(1)
Also xy = yx−z

⇒x² −xz = y² ....(2)
Using (1) and (2), we get yz = xy - yz + y2
2yz = xy + y²
2z = x + y
Only option 2 satisfies the equation.

Hence, opiton 2 is the correct answer.

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