Question

If 2a-b:2a+b=1:2, find the value of a:b.​

Answer 1

a:b = 3:2

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