Question

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

Answer 1

a:b = 1:4

Explanation:

Given:
`2a-(b)/(6) = (b)/(3)`

Lets add both side by
`(b)/(6)`

⇒
`2a = (b)/(3) + (b)/(6)`

Now, taking LCD for 3 and 6 to get 6

⇒
`2a = (2* b + b)/(6)`

⇒
`2a = (3b)/(6)  ⇒   2a= (b)/(2)`

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

⇒
`(a)/(b) = (1)/(4)`

∴ Ratio of a:b = 1:4