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

Explanation

Given the ratio 2:3, let the numbers be 2x and 3x. The LCM of these numbers is 6x. Since LCM = 48, we have 6x = 48, so x = 8. Therefore, the numbers are 16 and 24, and their sum is 16 + 24 = 40.