suyojthapa suyojthapa
  • 03-10-2020
  • Mathematics
contestada

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

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altavistard
altavistard altavistard
  • 03-10-2020

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

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