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If x : y=2:3\ a n dy : z=2:3,\ then x :...

If `x : y=2:3\ a n dy : z=2:3,\ ` then `x : z=` 2:3 (b) 3:4 (c) 5:7 (d) 4:9

A

`2:3`

B

`3:4`

C

`5:7`

D

`4:9`

Text Solution

Verified by Experts

The correct Answer is:
D
x:y = 2:3
y:z = 2:3
HCF of terms represented by y is HCF of 3 and 2 is 6.
`therefore x:y = 2 xx 2:3 xx 2 =4:6`
`y:z = 2 xx 3:3 xx 3 = 6:9`
`rArr x:y:z = 4:6:9`
`rArr x:z = 4:9`
Hence, the correct option is (d).
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