Question

If x: y = 5:12, y: z = 8: 3 and z: w = 9: 16 then x: w is
A) 5:10
B) 5:8 .
C) 8:5​

Answer 1

Answer:  (B)

Step-by-step explanation:

x:w = x:y × y:z × z:x

      = 5:12 × 8:3 × 9:16

      = 5:8

Answer 2

Answer:

Given, x:y = 5:12

let x=5a, y=12a

Given y:z = 8:3

we know that, y=12a

so, 12a:z = 8:3

= 3a/z = 2/3

=} z = 9a/2

Given, z:w = 9:16

we know that, z = 9a/2

=} (9a/2):w = 9:16

9a/2w = 9/16

a/w = 1/8

w = 8a

Asked ..x:w

=} x = 5a , w = 8a

so, x:w = 5a:8a = 5:8

..x:w = 5:8

I hope it helps you