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) x2+y2=169 ----eq.(2) Also, (x+y)2=x2+y2+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