Question

If 6a=4b=9c when a:b:c = ?

Answer 1

check the attachment

Answer 2

Given:

$6a=4b=9c$

$6a=4b$

$a=\frac{4b}{6}$

$\frac{a}{b}=\frac{2}{3}....(1)$

$4b=ac$

$\frac{b}{c}=\frac{9}{4}....(2)$

Make $b$ same

So multiple eq.(1) by $3$ and eq.(2) by 1

$\frac{a}{b}=\frac{2\times 3}{3\times 3}=\frac{6}{9}$

$\frac{b}{c}=\frac{9\times 1}{4\times 1}= \frac{9}{4}$

$a:b:c=6:9:4$