Question

Given that a/b = 3/5 and b/c = 3/4.
Find a : b : c

Answer 1

a : b : c = 9 : 15 : 20

Explanation:

Here, b is common to both the ratios. In order to find the combined ratio of a, b and c, it is required to make the b ratio same in the given ratios.

Therefore,

`(a)/(b) = (3)/(5) = (3 * 3)/(5 * 3) = (9)/(15) \\ \\ (b)/(c) = (3)/(4) = (3 * 5)/(4 * 5) = (15)/(20) \\ \\ \implies \: a : b : c = 9 : 15 : 20`