The product of two positive numbers is 240. If the ratio of the two numbers is 3 : 5, then what is the sum of the two numbers?

32

The ratio of the two numbers = 3 : 5

The product of two numbers = 240

Let the numbers = 3x and 5x

according to the question,

3x $\times$ 5x = 240

15x² = 240

x² = 16

x = 4

The sum of the two numbers = 3x + 5x = 8x = 8 $\times$ 4 = 32