Question

The sum of two numbers is 118 and their product is 3456

Answer 1

Define x:

Let one of the number be x

The other number is (118 - x)

Form Equation and Solve x:

Their product is 3456

x(118 - x)  = 3456

118x - x² = 3456

x² - 118x + 3456 = 0

(x - 54) (x - 64) = 0

x = 54 or x = 64

Answer: The number are 54 and 64

Answer 2

Let one of the number be x,

The other number is (118 - x) Form Equation and Solve x: Their product is 3456, x (118 - x)  = 3456, 118x - x² = 3456, x² - 118x + 3456 = 0, (x - 54) (x - 64) = 0, x = 54 or x = 64.