Correct Answer - Option 1 : 31
Given
sum of the square of numbers = 625
difference between two number = 17
Formula\ Concept used
(a + b)2 = a2 + b2 + 2ab
A.M of two numbers = (a + b)/2
Calculation
Let two numbers be x and y respectively.
So, x2 + y2 = 625 ----(1)
and x - y = 17
⇒ (x - y)2 = 172
⇒ x2 + y2 - 2xy = 289
from (1)
⇒ 625 - 2xy = 289
⇒ xy = 168 ----(2)
As we know,
x2 + y2 + 2xy = (x + y)2
from (1) and (2)
(x + y)2 = 961
⇒ x + y = 31