Question

If x:y = 3:4 and y:z = 8:9, z:a is 15:16, find x:y:z:a

Answer 1

hope you get your answer

Answer 2

Answer:

The correct answer is

$&x: y: z: a=30: 40: 45: 48$.

Step-by-step explanation:

Given:

The values of $x:y = 3:4$, $y:z = 8:9$ and

$z:a =15:16$

To find:

The values of  $x:y:z:a$.

Step 1

Let, the value of

$&X: Y=(3: 4) \times 2$

and the value of $&y: Z=(8: 9) \times 1$

then we get

$&X: Y: Z=6: 8: 9$

Step 2

Now, the value of $y:z =(8: 9) \times 15$ and

the value of $&z: a=(15: 16) \times 9$

then, we get

$&y: z: a=120: 135: 144$

Simplifying the above equation, we get

$&y: z: a=40: 45: 48$

Step 3

Now compare, $x:y:z$ and $y: z: a$

So, $x: y: z=(6: 8: 9) \times 5$

$=30: 40: 45$

$&x: y: z: a=30: 40: 45: 48$

Therefore, the correct answer is $&x: y: z: a=30: 40: 45: 48$.

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