Answer:
21 and 96
Explanation:
Let x and y be the two numbers such that x>y.
As the sum of both the numbers is 96.
x+y=96...(i)
As the larger number is nine less than four times the smaller number,
So, x=4y-9
From equation (i),
4y-9+y=96
5y=96+9=105
So, y=105/5=21
By using equation (i),
x=96-y=96-21=75
Hence, both the numbers are 21 and 96.