## anonymous one year ago two numbers are in the ratio of 5:7.If 12 is added to each number the ratio is 4:5.What are the original numbers?

Let the numbers be $$p$$ , $$q$$ . Then we have, $$\frac{p}{q} = \frac{5}{7}$$ and $$\frac{p+12}{q+12} = \frac{4}{5}$$ Solve the equations to get the actual numbers.