Question

If 2A=3B=4C then find A:B:C​

Answer 1

Answer: 6:4:3

Step-by-step explanation: Let 2A = 3B = 4C = x

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

Therefore A:B:C = x/2:x/3:x/4

LCM of 2,3,4 = 12

$\frac{x}{2} = \frac{x * 6}{2 * 6} = \frac{6x}{12}$

$\frac{x}{3} = \frac{x*4}{3*4} = \frac{4x}{12}$

$\frac{x}{4} = \frac{x*3}{4*3} = \frac{3x}{12}$

Therefore 6x/12:4x/12:3x/12

The 12 cancels out

Therefore 6x:4x:3x = 6:4:3

Answer 2

Answer:

2:3:4

A=2

B=3

C=4

sum of ratio =2+3+4=9