Question

if a/8=b/9=c/12 then find a:b:c

Answer 1

a/8 = b/9
a/b = 8/9
b/9 = c/12
b/c =9/12
a:b:c =8:9:12

Answer 2

Given :

$\frac{a}{8}=\frac{b}{9}=\frac{c}{12}$

To Find :

a:b:c

Solution:

Let $\frac{a}{8}=\frac{b}{9}=\frac{c}{12} = k$

So,$\frac{a}{8}=k\\\Rightarrow a=8k$

So,$\frac{b}{9}=k\\\Rightarrow b=9k$

So,$\frac{c}{12}=k\\\Rightarrow c=12k$

So, a:b:c = 8k:9k:12k = 8:9:12

Hence a:b:c= 8:9:12