Correct Answer - Option 4 : 112 and 8

**Given**

Sum of two numbers = 120

Product of two numbers = 896

**Calculation**

Let the numbers be x and y

x + y = 120

⇒ x = 120 - y

xy = 896

⇒ (120 - y)y = 896

⇒ 120y - y^{2} = 896

⇒ - y^{2 }+ 120y - 896 = 0

⇒ y^{2} - 112y - 8y + 896 = 0

⇒ y(y - 112) - 8(y - 112) = 0

(⇒ y - 8)(y - 112) = 0

y = 8 and y = 112

**∴ Numbers are 8 and 112**