Correct Answer - Option 1 : 17

**Given:**

Product of two numbers = 60

Sum of the squares of the two numbers = 169

**Formula used:**

(a + b)2 = a2 + b2 + 2ab

**Calculation:**

Let the two numbers be x and y

Then, according to the question:

xy = 60 ----eq.(1)

x^{2} + y^{2} = 169 ----eq.(2)

Also, (x + y)^{2} = x^{2} + y^{2} + 2xy

⇒ (x + y)2 = 169 + (2 × 60); From eq.1 and eq.2

⇒ (x + y)2 = 289

⇒ x + y = 17

**∴ Sum of the two numbers = 17**