The sum of two numbers is 80.The larger number exceeds four times the smaller one by 5.Find the numbers.

Let x and y be the two numbers. And x > y.
Then,
x + y = 80-----(1)
y=80-y
Also,
x = 4y - 5
Solving the two equations,
80 - y = 4y - 5
85 = 5y
Therefore, y = 17
put the value of y in equation(1)
then
x+y=80
x+17=80
x=63
the numbers are 17&63