The least common multiple (LCM) of two numbers is 48, and their ratio is 2:3. What is the sum of these two numbers?

Explanation

Let the two numbers be 2x and 3x. Their LCM is the product of the highest powers of the numbers, which is 6x. Given that the LCM is 48, we have 6x = 48, so x = 8. Therefore, the numbers are 16 and 24. Adding them gives 16 + 24 = 40.