Question

If 5x=3y and 2y=Z, then :
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Answer 1

Answer:

3/10

Step-by-step explanation:

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Answer 2

Given: 5x=3y and 2y=Z

To find The value of x:y:z

Solution: A ratio can be defined as the form which is simplest such that if we consider two numbers x and y are in x/y form provided that the number in the denominator can never be zero. The ratio possesses no units, it is dimensionless.

Now, 5x=3y

     ⇒   x/y=3/5  [just rearranging the given form]

Again for  2y=Z

               ⇒ y/z=1/2  [just rearranging the given form]  

∴ In order to find x:z, we perform

(x/y)×(y/z)=(3/5)×(1/2)

⇒x/z=(3×1)/(5×2)   [∵y/y=1]

⇒ x/z=3/10

⇒x:z=3:10  [∵x/z can be written as x:z]

∴Considering the base values of the ratios, the base whole numbers for which the above two equations will hold true, x=3, y=5, z=10

⇒x:y:z=3:5:10

Hence the value of x:y:z is 3:5:10.

Correct Question: If 5x=3y and 2y=Z, then find:

​                                    x:y:z.