If 2A = 3B = 4C, find A: B: C

Let 2A = 3B = 4C = x

So, A = x/2, B = x/3, C = x/4

The L.C.M of 2, 3 and 4 is 12

Therefore, A : B : C = (x/2)×12 : (x/3)×12 : (x/4)×12
= 6x : 4x : 3x
= 6 : 4 : 3

Therefore A : B : C = 6 : 4 : 3.