let 'x' and 'y' be the two numbers

two numbers have a difference of 28

x - y = 28

the first number is 8 less then twice the second number

x = 2y - 8

by solving the system of equations

x - y = 28

x = 2y - 8

we find

x = 64

y = 36

click here to see the step by step solution of the system of equations

the two numbers are 64 and 36.