Question

The compound ratio of 3 : 4 and the inverse ratio of 4 : 5 is 45 : x. Find 'x'.
​

Answer 1

Answer:

48

Step-by-step explanation:

Compound ratio of a:b and c:d is ac:bd

In this question a:b is 3:4 also
c:d = 5:4 (inverse of 4:5)

∵Compound ratio will be (3×5) : (4×4)

                                         =15 : 16

ATQ, 15:16 = 45:x
As we know, Product of means = product of extremes

∵ 15x = 45×16

∴x=48