Step-by-step explanation:
x, y are the 2 numbers.
(x + y)/2 = 80 (average is 80)
x + y = 160
x = 160 - y
x - y = 16 (difference is 16)
using the first equation here gives us
(160 - y) - y = 16
160 - y - y = 16
160 - 2y = 16
144 - 2y = 0
144 = 2y
y = 144/2 = 72
x = 160 - y = 160 - 72 = 88
the larger number (x) is 88.
