Question

if x:y=2:3 and y:z=4:5 thenx:y:zis​

Answer 1

Answer:

$x:y:z = 8:12:15$

Step-by-step explanation:

$x:y = 2:3$

∴ $x = \frac{2}{3} y$

$y:z = 4:5$

∴ $y = \frac{4}{5} z$

∴ $\frac{2}{3} y = \frac{2}{3} .\frac{4}{5} z = \frac{8}{15} z$

∴ $x = \frac{2}{3} y = \frac{8}{15} z$

∴ $\frac{x}{8} = \frac{y}{12} = \frac{z}{15}$  [dividing all the parts by 8]

∴ $x:y:z = 8:12:15$