math - the difference between two numbers is eight. if the smaller number exceeds half of the larger number by 14, what are the numbers?

"x - the larger number
y - the smaller number

x - y = 8 y = x - 8

y - x/2 = 14
x - 8 - x/2 = 14
x - x/2 = 14 + 8
x/2 = 22
x = 44

y = x - 8
y = 44 - 8
y = 36

44 and 36 are the numbers"