Let us say first number is x.
Let us say second number is y.
We are given that:
The difference of the two numbers is 2.
[tex]x-y=2[/tex]
[tex]x=2+y[/tex].................(1)
We are also given that:
product of the numbers is 41.25
[tex]x*y=41.25[/tex]............(2)
Plugging the value of x from equation (1) in (2)
[tex](2+y)*y=41.25[/tex]
[tex]2y+y^{2}=41.25[/tex]
On solving we will get,
y=5.5 and y=-7.5
So if y=5.5,
x= 2+y = 7.5
Answer : The first number is 7.5 and the second number is 5.5
