Q. 2A = 3B = 9C Then find A : B : C

Let 2A = 3B = 9 C = x

A = x / 2 , B = x / 3 , c = x / 9

A : B : C = x / 2 : x / 3 : x / 9

Now calculate the lcm of denominator that is 18.

A : B : C = (9x : 6x : 2x) / 18

A : B : C = 9 : 6 :2

Q. If 2A = 3B and 11B = 9C Then find A : C

2A = 3B and 11B = 9C

Lets calculate the lcm of 3 and 11 that is 33

Now 22A = 33B and 33B = 27C

let 22A = 33B = 27C = x

22A = 27C

A / C = 27 / 22

A : C = 27 : 22