Question

4a-5b/4a+5b=1/6 a:b?​

Answer 1

Answer:

$\frac{a}{b} = \frac{7}{4} .$

Step-by-step explanation:

$\frac{4 a - 5b}{4a + 5b} = \frac{1}{6} \\ \\ by \: componendo \: and \: dividendo \\ \\ \frac{(4a - 5b) + (4a + 5b)}{(4a - 5b) - (4a + 5b)} = \frac{1 + 6}{1 - 6} \\ \\ \frac{8a}{ - 10b} = \frac{7}{ - 5} \\ \\ \frac{a}{b} = \frac{ - 7}{5} \times \frac{ - 10}{8} = \frac{7 \times 5}{5 \times 4} = \frac{7}{4} .$