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

or, 3z* 3/2*z * z = 36

or, 9/2 z3 = 36

or, z3 = 2*36/9

or, z3 =8

or, z = 2