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

x = 3z

2y=3z

y= (3/2)z

Now, xyz = 36

3z.3/2.z.z = 36

9z³/2 =36

z3 = 8

z=2