Answer:
10
Step-by-step explanation:
Let the first number be x, and the second number be y.
x + y = 5
x - y = 2
Solve for x in first equation.
x + y = 5
x = 5 - y
Put x as 5-y in the second equation, and solve for y.
(5-y) - y = 2
5 - 2y = 2
-2y = -3
y = 3/2
Put y as 3/2 in the first equation and solve for x.
x + y = 5
x + 3/2 = 5
x = 7/2
The difference of their squares would be:
(7/2)² - (3/2)²
49/4 - 9/4
40/4 = 10