If a-3b/a+b = 3/4, what are the following ratios?

a+b/a

16/15

Step-by-step explanation:

We are given the equation;

a-3b/a+b = 3/4

We are required to determine the ratio a+b/a

It will be easier to first determine the value of a/b

Using cross multiplication;

a-3b/a+b = 3/4 becomes,

4 (a-3b) = 3 (a+b)

4a - 12b = 3a + 3b

Combining the like terms;

4a - 3a = 3b + 12b

a = 15 b

Thus, a/b = 15/1

Taking a = 15 and b = 1

Then,

a+b/a = (15 + 1) / 15

= 16/15

Therefore, the ratio a+b/a is 16/15