Question

if 2A=3B=4C, then A:B:C with solution

Answer 1

2A/12=3B/12=4C/12
A/6=B/4=C/3
A:B:C=6:4:3

Answer 2

Given 2A = 3B = 4C.


Let 2A = 3B = 4C = K.

2A = K

A = K/2  ---------------- (1)


3B = K

B = K/3  ------------------- (2)


4C = K

C = K/4  --------------------- (3).



Now,

A:B:C = K/2: K/3: K/4

LCM = 12

           = 6K/12: 4K/12: 3K/12

           = 6:4:3.


Hope this helps!