Question

the ratio compounded of 4:9, the duplicate ratio of 3:4, the triplicate ratio of 2:3 and 9:7 is

Answer 1

Hey mate!!

Here's your answer...

Ratio is the relation which one quantity A bears to another B of the same kind, the comparison being made by considering what multiple, part, or parts, one quantity is of the other. Thus the ratio of A to B is written as A:B or A/B. A ratio expresses the number of times that one quantity contains another, and therefore every ratio is an abstract quantity.

A³:B³ is called the triplicate ratio of A:B.

Therefore,

Triplicate ratio of 2:3 = 2³ : 3³ = 8:27

Triplicate ratio of 9:7 = 9³ : 7³ = 729:343

Therefore,

Triplicate ratio of 2:3 and 9:7 = 8:27 / 729:343 = (8 x 343)/(27 x 729)

= 2744:10683

Hope it helped you...