Question

8.
If 2A = 3B = 4C, then determine the ratio
A: B: C.​

Answer 1

Step-by-step explanation:

let 2a=3b=4c=k

$2a = k \\ a = \frac{k}{2}$

similarly

$b = \frac{k}{3} \: and \: c = \frac{k}{4}$

$\frac{k} {2} + \frac{k}{3} + \frac{k}{4} = \frac{k}{2} + \frac{k}{3} + \frac{k}{4}$

on rhs...with LCM as 12

$6k + 3k+ 4k = \frac{k}{2} + \frac{k}{3} + \frac{k}{4}$

therefore ratio is-- 6:3:4which is a:b:c