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)
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