Question

If 3x = 3y = 4z, then x : y : z is-​

Answer 1

Answer:

• 4 : 4 : 3.

Step-by-step explanation:

Given :

3x = 3y = 4z

To find :

x : y : z

Solution :

• Let 3x = 3y = 4z be k.

Then we get:

=> 3x = k

• x = k/3

=> 3y = k

• y = k/3

=> 4z = k

• z = k/4

Now, (x : y : z):

=> k/3 : k/3 : k/4

=> 1/3 : 1/3 : 1/4 [L.C.M = 12]

=> 1/3 × 12 : 1/3 × 12 : 1/4 × 12

=> 4 : 4 : 3

∴ x : y : z = 4 : 4 : 3