Let X Represent One Number and Let Y Represent the Other

Multiple Choice

Let x represent one number and let y represent the other number. Use the given conditions to write a system of nonlinear equations. Solve the system and find the numbers.
-The difference between the squares of two numbers is 80. Twice the square of the second number subtracted from the square of the first number is 16. Find the numbers.

A) 12 and 8
B) 12 and 8; -12 and 8; 12 and -8; -12 and -8
C) 12 and 8; -12 and -8
D) 12 and 8; -12 and 8; 12 and -8