Let the two numbers be x and y. Difference between the two numbers =x−y=3 Difference between their squares =x2−y2=39 Now, x2−y2=39 (x−y)(x+y)=39 3(x+y)=39 x+y=13 Now from x + y = 13 and x - y = 3 we get. Value of x = 8 and y = 5 So, the large number is x = 8