Question

What is the ratio of a to b?
9/17=3a/a+b 3/14 6/17 13/17 50/9

Answer 1

Explanation:

`(9)/(17) = (3a)/(a + b) \\ \\ \therefore \: 9(a + b) = 17 * 3a \\ \\ \therefore \: 9a + 9b =51a \\ \\ \therefore \: 9b =51a - 9a\\ \\ \therefore \: 9b =42a \\ \\ \therefore \: (9)/(42) = (a)/(b) \\ \\ \therefore \: (3)/(14) = (a)/(b) \\ \\ \huge \orange{ \boxed {\therefore \: a \: \: : \: b = 3 \: : \: 14}}`