The sum of two numbers is 40 and their difference is 4. The ratio of the number is

Given:
The sum of two numbers is 40.
The difference of two number is 4.
Let
the larger number be x.
the smaller number be y.
According to the question,
(x + y)/(x - y) = 40/4
(x + y)/(x - y) =10/1
10(x - y) = x + y
10x - 10y = x + y
10x - x = 10y + y
9x = 11y
x/y = 11/9
x : y = 11 : 9

∴ The ratio of the number is 11 : 9