Question

If x : y = 5:12, y : 2 = 8:3 and z: w = 9:16, find x : w.
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Answer 1

Step-by-step explanation:

In first two ratio

x:y=5:12

y:z=8:3

y is common so,

LCM of y in both ratio

Lcm of 12 and 8=24

In x:y 10/24

In y:z 24/3

So, 10/24 X 24/3

=10:3 is x:z

Now we have to find x:w

So, x:z 10:3

z:w 9:16

Now again z is common

Lcm of 3 and 9=9

Now, x:y 30:9

z:w 27:48

30/9 X 27/48

=x:w=15:8

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