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Q.
If y/(x - z) = (y + x)/z = x/y then find z : y : x ?
A.
1:2:3
B.
3:2:4
C.
4:3:2
D.
2:3:4
View Answer
Correct choice: B
Explanation:
Given, y/(x - z) = (y + x)/z = x/y yz = xy + x2 − yz − xz ....(1)yz = xy + x2 - yz - xz ....(1) Also xy = yx−zxy = yx-z ⇒x2 −xz = y2 ....(2)⇒x2 -xz = y2 ....(2) Using (1) and (2), we get yz = xy - yz + y2y2 2yz = xy + y2y2 2z = x + y Only option (B) satisfies the equation.
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