Question

b+a:b-a=5:1 then b:a=?​

Answer 1

Answer:

b+a/b-a = 5/1

b+a = 5b-5a

a+5a = 5b-b

6a = 4b

3a = 2b

2b/3a = 1

b/a = 3/2

b:a = 3:2

Answer 2

Answer:

b:a = 3:2

Step-by-step explanation:

$\frac{b + a}{b - a} = \frac{5}{1} \\ = > \frac{(b + a) + (b - a)}{(b + a) - (b - a)} = \frac{5 + 1}{5 - 1} \\ (applying \: componendo \: and \: dividendo)\\ = > \frac{b + a + b - a}{b + a - b + a} = \frac{6}{4} \\ = > \frac{2b}{2a} = \frac{6}{4} \\ = > \frac{b}{a} = \frac{3}{2}$