# The difference between two number is 2.Their product is 84 greater than the square of the smaller number the sum of the number is 164, 86, 84, 42

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Given:

a-b=2 .............(1)

and

ab=84+b^2

(b+2)*b=84+b^2............(since,a-b=2,a=b+2)

b^2+2b=84+b^2

2b=84

b=42

equation (1) implies

a-42=2

a=44

=> the 2 no.'s are 44 and42.

=> Hence, sum of 2 no.'s is 86.

Given that the difference = 2

⇒ x -y = 2

⇒ x = y+2 ------------(1)

Given that their product = 84 more than the square of the smaller no

⇒ xy = 84 +y²

⇒(y+2)y = 84 +y²

⇒ y² +2y = 84 +y²

⇒ y² -y² +2y = 84

⇒ 2y = 84

⇒ y =84/2

∴ y = 42

now, x = y+2

⇒x =42+2

∴ x =44

sum of them = x+y = 42+44 = 86