Answer:
a:b = 1:4
Step-by-step explanation:
Given: [tex]2a-\frac{b}{6} = \frac{b}{3}[/tex]
Lets add both side by [tex]\frac{b}{6}[/tex]
⇒ [tex]2a = \frac{b}{3} + \frac{b}{6}[/tex]
Now, taking LCD for 3 and 6 to get 6
⇒ [tex]2a = \frac{2\times b + b}{6}[/tex]
⇒ [tex]2a = \frac{3b}{6} ⇒ 2a= \frac{b}{2}[/tex]
Next, we will cross multiply to get the ratio of a:b
⇒ [tex]\frac{a}{b} = \frac{1}{4}[/tex]
∴ Ratio of a:b = 1:4
