Question

If,x,y and z are three numbers such that, x: y = 7: 8 and y: z = 16: 35,
then find x: z

Answer 1

Answer:

x:z = 2:5

Step-by-step explanation:

$\frac{x}{y} = \frac{7}{8} \: \: \: \frac{y}{z} = \frac{16}{35} \\ x = \frac{7y}{8} \: \: \: \frac{35y}{16} = z \\ \frac{x}{z} \: substitute \: x \: and \: z \\ \frac{x}{z} = \frac{7y}{8} \times \frac{16}{35y} = \frac{2}{5}$

I hope this is helpfull and please mark Brainliest answer

Answer 2

Answer:

x:z = 2:5

Step-by-step explanation:

x/y × y/z =7/8 × 16/35 = 2/5

x:z = 2:5