If $2 x = 3 y$ and $4 y = 5 z$ , then $x : z =$ __________ .

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Solution

We have,
$\begin{matrix} 2 x = 3 y \to (i) 4 y = 5 z \to (i i) x : z = ? f r o m e q u a t i o n (i) 2 x = 3 y y = \frac{2}{3} x \to (i i i) p u t t h i s i n e q u a t i o n (i i) 4 \times \frac{2}{3} x = 5 z 8 x = 15 z \frac{x}{z} = \frac{15}{8} x : z = 15 : 8 \end{matrix}$

Hence, this is the answer.

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