Question

If "x:y=4:5 and y:z= 6:7 find x:z"​

Answer 1

Answer:

X:y=4:5

y:z=6:7

X:z=?

4/5×6/7

24/35

Step-by-step explanation:

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Answer 2

Answer:

$x:z=24:35$

Step-by-step explanation:

Given $x:y=4:5$ and $y:z= 6:7$

          $x:y=4:5\implies \frac{x}{y} =\frac{4}{5}$              ...(1)

and    $y:z=6:7\implies \frac{y}{z} =\frac{6}{7}$               ...(2)

Multiplying equation (1) with equation (2)

                    ${\frac{x}{y}}\times{ \frac{y}{z}}={\frac{4}{5}}\times{\frac{6}{7}$

                   $\implies{\frac{x}{z}}={\frac{24}{35}}$

                   $\implies x:z=24:35$

Therefore, $x:z=24:35$