Let the two numbers be x and y
Their sum is 20, so we can write
x + y = 20
Their difference is 14, so we can write:
x- y = 14
Adding the two equations, we get:
2x = 34
x = 17
Using the value of x, in first equation, we get:
17 + y = 20
so,
y = 3
Thus the two numbers are 17 and 3.
So, option a is the correct answer