If x=2y = 3z and xyz = 36, what is the value of z?

If x=2y = 3z and xyz = 36, what is the value of z?

A 2

B √2

C √3

D 3

Solution

Correct Answer: Option A

Here, x = 2y = 3z

So, x=3z

And 2y=3z

So, y=(3/2)z

xyz=36

So, 3z×(3/2)z×z=36

=> 9z3=72

=> z3=8

So, z=2