Correct Answer - Option 4 : 11 ∶ 9
Given:
The sum of two numbers is 40.
The difference of two number is 4.
Calculation:
Let the larger number be x.
Let the smaller number be y.
According to the question,
⇒ x + y = 40
⇒ x = 40 - y
The difference of two number is 4.
⇒ x - y = 4
⇒ 40 - y - y = 4
⇒ 40- 4 = 2y
⇒ 36 = 2y
⇒ y = 18
The larger number x = 40 - 18 = 22
Required ratio = 22 : 18
⇒ 11 : 9
∴ The ratio of the number is 11 : 9.