If three positive real numbers x, y, z satisfy y - x = z - y and xyz = 4, then what is the minimum possible value of y ? Options: A . &nbsp21/3 B . &nbsp22/3 C . &nbsp21/4 D . &nbsp23/4 E . &nbsp118

If three positive real numbers x, y, z satisfy y - x = z

Question

If three positive real numbers x, y, z satisfy y - x = z - y and xyz = 4, then what is the minimum possible value of y ?

Answer: Option B
:
B
Condition implies x,y,z is in AP and xyz is const. Hence, y is min when x+y+z is min, that will happen when x=y=z= 2

^{2 / 3}

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