17 less then a number

One-third of the people from country a claim that they are from country b, and the rest admit they are from country a. one-fourth of the people from country claim that they are from country a, and the rest admit they are from country b. in a combined census of the two countries, one-half of the total claimed to be from a. what is the ratio of the populations of country a to that of country b.

What are the coordinates of the point that is 1/3 of the way from a to b? a (2,-3) b (2,6)

Which one is the correct answer, and why?