Your question is –
It is given that 2:3 is the value of the sub triplicate ratio of the variables ‘p’ and ‘q’ respectively. Find out the value of the variables ‘p’ as well as ‘q’ and also find out the triplicate ratio of these two variables.

It’s a very easy question for me please read my explanation of your question for better understanding.

According to the question,
value of the sub triplicate ratio of the
variables ‘p’ and ‘q’ respectively = 8:27 ….(i)
We have to find the values of ‘p’ as well as ‘q’ i.e. p:q
We also to have to find the value of the triplicate ratio of p:q i.e. p3:q3
Sub triplicate ratio = p1/3:q1/3 = (2):(3) ….(ii)
∴To find p:q, we will have to take cubes on both the sides.
∴ p:q = 8:27 …..(ii)
Now, to find the triplicate ratio we will have to again take cubes on both sides of the
equation (ii).
∴ p3:q3 = 83:273 = 512:19683 ……….(iii)

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