Let’s denote the two numbers as 3x and 2x. According to the problem, the sum of the cubes of these two numbers is 4375. So we have:
(3x)³ + (2x)³ = 4375 27x³ + 8x³ = 4375 35x³ = 4375 x³ = 4375 / 35 x³ = 125 x = ∛125 x = 5
So, the two numbers are 3x = 35 = 15 and 2x = 25 = 10.
Therefore, the sum of the numbers is 15 + 10 = 25. So, the correct answer is C) 25.