Given information:
- LCM of two numbers is 48
- The numbers are in the ratio 2:3

To find:
- The sum of the numbers

Approach:
1. Let's assume the two numbers as 2x and 3x (since they are in the ratio 2:3).
2. We know that the LCM of two numbers is the smallest multiple that is divisible by both numbers.
3. So, in this case, the LCM of 2x and 3x is 48. This means that 48 is divisible by both 2x and 3x.
4. To find the LCM, we can find the product of the two numbers and divide it by their GCD (Greatest Common Divisor).
5. The GCD of two numbers is the largest number that divides both numbers without leaving a remainder.
6. Since the given numbers are in the ratio 2:3, their GCD will be 1 (since there are no common factors other than 1).
7. Therefore, the product of the two numbers (2x * 3x) divided by their GCD (1) will give us the LCM, which is 48.
8. Simplifying the equation, we get 6x^2 = 48.
9. Dividing both sides by 6, we get x^2 = 8.
10. Taking the square root of both sides, we get x = √8 = 2√2.
11. Now, the two numbers are 2x and 3x, which are 2(2√2) and 3(2√2) respectively.
12. Simplifying, we get the two numbers as 4√2 and 6√2.
13. The sum of the two numbers is 4√2 + 6√2 = 10√2.
14. The answer is not in the given options. However, we can approximate the value of √2 to 1.41 (approximately).
15. Therefore, the sum of the two numbers is approximately 10 * 1.41 = 14.1.
16. None of the given options match the approximate sum of 14.1, so the correct answer might be missing from the options provided.

Conclusion:
- The sum of the two numbers is approximately 14.1, which is not present in the given options. Therefore, none of the options provided is the correct answer.