The given question provides us with the ratio of the sum and difference of two numbers, which is 17:13.
To solve this problem, let`s assume the two numbers are x and y.
The sum of these two numbers is x + y, and the difference is x - y.
According to the given information, the ratio of the sum to the difference is 17:13.
This can be written as (x + y)/(x - y) = 17/13.
To find the ratio of the numbers, we can cross multiply and simplify the equation.
13(x + y) = 17(x - y)
13x + 13y = 17x - 17y
30y = 4x
y/x = 4/30
Simplifying further, the ratio of the numbers y:x is 2:15.
Therefore, the correct answer is option-4, 2:15.