Question

5. If x, 12, y, 27 are in continued proportion then find the values of X and y​

Answer 1

Answer:

Product of extremes = product of means

→ 27x = 12y

We can't find values of x,y directly.

Answer 2

We have,

x:12: :y:27

=>x/12=y/27

=>x=12(y/27)

=>x=12y/27----------------(1)

Therefore,x=12y/27

From (1) we get,

x=12y/27

=>y=27x/12---------------------------(2)

Therefore,y=27x/12

Now, Putting the value (2) in (1) we get,

x={12(27x/12)}/27=>x=1

Therefore, the value or x is 1

Therefore, y=27/12

Hence the value of x=1 and y=27/12

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