Question

Find the ratio a:b, if it is given that:

Answer 1

6: 1

Explanation:

`(a - 2b)/(a + 2b) = (1)/(2)`

Cross multiply:

2(a -2b)= a +2b

Expand:

2a -4b= a +2b

Bring all the a terms to 1 side, b terms to the other:

2a -a= 4b +2b

Simplify:

a= 6b

Divide by b on both sides:

`(a)/(b) = 6`

Thus, the ratio a: b= 6: 1.