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If $x : y = 8 : 9$ and $x : z = 6 : 5$ , then $y : z =$

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$16 : 27$

$17 : 10$

$16 : 15$

$27 : 20$

answer is B.

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Detailed Solution

$x : y = 8 : 9$

$x : z = 6 : 5$

$y : z =$

LCM of 8,6 $= 24$

$∴ x : y = 8 : 9 \Rightarrow 8 \times 3 : 9 \times 3 = 24 : 27$

$x : z = 6 : 5 \Rightarrow 6 \times 4 : 5 \times 4 = 24 : 20$

$y : z = 27 : 20$

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