Question

Find the ratio of a:b, if 2a-b/6=b/3

Answer 1

`(a)/(b)=(1)/(4)`

Thus, the ratio is:

a:b = 1:4

Explanation:

Given the expression

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

`\mathrm{Add\:}(b)/(6)\mathrm{\:to\:both\:sides}`

`2a=(b)/(2)`

Divide both sides by 2

`(2a)/(2)=((b)/(2))/(2)`

`a=(b)/(4)`

Divide both sides by b

`(a)/(b)=(1)/(4)`

Thus, the ratio is:

a:b = 1:4