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 - y2 = 896
⇒ - y2 + 120y - 896 = 0
⇒ y2 - 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