Answer:
a:b = 3:2
Step-by-step explanation:
You are given:
2a - b 1
----------- = ------
2a + b 2
Then, through cross-multiplication, we get:
4a - 2b = 2a + b, or
2a = 3b
We want the value of the ratio a:b. To obtain this, divide both sides by b, which results in
2a
------- = 3
b
Finally, we divide both sides by 2, obtaining the desired ratio:
a:b = 3:2