For this case, the first thing we must do is define variables.
We have then:
x = larger number
y = smaller number
By writing the system of equations we have:
x-y = 0.77
5x-y = 77
Solving the system we have:
x = 19.0575
y = 18.2875
Answer:
The numbers are:
x = 19.0575
y = 18.2875
