Respuesta :

Leora03

Answer:

6: 1

Step-by-step explanation:

[tex] \frac{a - 2b}{a + 2b} = \frac{1}{2} [/tex]

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:

[tex] \frac{a}{b} = 6[/tex]

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

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