Question

X:Y=8:9
X:Z= 6:5
Then what will be y:z= ?

Answer 1

Answer:

27:20 is correct answer

Step-by-step explanation:

X:Y=8:9

X:Z= 6:5

y:z= ?

y:x 9:8

x:z 6:5

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y:x:z

54:48:40

27:24:20

so y:z= 27:20

Answer 2

$\huge{\mathfrak{\pink{Answer}}}$

$\frac{x}{y} = \frac{8}{9} \\ \\ 8y = 9x \\ x = \frac{8y}{9} .........(1) \\ \\ \\ \frac{x}{z} = \frac{6}{5} \\ \\ 6z = 5x \\ substituiting \: (1) \: we \: get \\ 6z = 5( \frac{8y}{9}) \\ \\ 6z = \frac{40y}{9} \\ 54z = 40y$

$\huge{\mathcal{\boxed{\pink{y:z=27:20}}}}$