Question

If x:y=2:3 and y:z=5:9 find x:z

Answer 1

Answer:

5:9

Step-by-step explanation:

x:y=2:3 -> x/y=2/3

y:z=5:9 -> y/z=5/9

x/y=2/3=> 3x-2y=0

y/z=5/9 => 9y-5z=0 =>y= 5z/9

substitute this y=5z/9 in 3x-2y

3x-2(5z/9)=0

this solves as 18x-10z=0

18 and 10 are multiples of 2

so that equation can be simplified as 9x-5z=0

9x=5z

this returns on exchanging their values

x/z=5/9

x:z=5:9