Explanation:

- We have two conditions:

- The difference between the two numbers is 24.

- Their sum is 120.

- Let the two numbers be x and y such that x > y.

- Equation 1: x - y = 24

- Equation 2: x + y = 120

- Solving these equations simultaneously:

- Add Equations 1 and 2:

- 2x = 144

- x = 72

- Substitute x = 72 into Equation 2:

- 72 + y = 120

- y = 48

- The two numbers are 72 and 48. Their ratio is 72:48 or simplified, 3:2.

- Option 2: 3 : 2 is correct.

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