Question

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

Answer 1

Answer:

$\frac{a}{b}=\frac{1}{4}$

Thus, the ratio is:

a:b = 1:4

Step-by-step explanation:

Given the expression

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

$\mathrm{Add\:}\frac{b}{6}\mathrm{\:to\:both\:sides}$

$2a=\frac{b}{2}$

Divide both sides by 2

$\frac{2a}{2}=\frac{\frac{b}{2}}{2}$

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

Divide both sides by b

$\frac{a}{b}=\frac{1}{4}$

Thus, the ratio is:

a:b = 1:4