Correct Answer - Option 1 : 64

**Given:**

The ratio of numbers = 3 ∶ 5

Sum of their squares = 2176

**Calculation:**

Let the numbers be 3x and 5x.

The squares of the numbers are 9x^{2} and 25x^{2} respectively.

Sum of squares = 9x2 + 25x2 = 2176

34x^{2} = 2176 Or, x^{2} = 64

Then, x = 8

Sum of the numbers = 3x + 5x = 8x = 64

**∴ The sum of the numbers is 64.**