Answer: See explanation
Explanation:
Le the number be x and x+2
The information given can be formed into and equation as:
(x + 2)² = x² + 120
(x + 2)(x + 2) = x² + 120
x² + 2x + 2x + 4 = x² + 120
Collect like terms
x² - x² + 2x + 2x = 120 - 4
4x = 116
x = 116/4
x = 29
The smallest number is 29
The larger number is x + 2 = 29 + 2 = 31