Question

Find the ratio a:b if it is given that 2a-b/6 = b/3

Answer 1

Answer:

a:b = 1:4

Step-by-step explanation:

Given: $2a-\frac{b}{6} = \frac{b}{3}$

Lets add both side by $\frac{b}{6}$

⇒ $2a = \frac{b}{3} + \frac{b}{6}$

Now, taking LCD for 3 and 6 to get 6

⇒ $2a = \frac{2\times b + b}{6}$

⇒ $2a = \frac{3b}{6} ⇒ 2a= \frac{b}{2}$

Next, we will cross multiply to get the ratio of a:b

⇒ $\frac{a}{b} = \frac{1}{4}$

∴ Ratio of a:b = 1:4