Answer:
The numbers are 16, 28
Step-by-step explanation:
Let the smallest number be x
Largest number = x + 12
x(x +12) = 448
Use distributive rule.
x*x + x *12 = 448
x² + 12x = 448
x² + 12x - 448 = 0
x² + 28x - 16x - 28*16 = 0
x(x + 28) - 16(x + 28) = 0
(x + 28)(x - 16) = 0
Given that the numbers are positive and so ignore (x+28)
x - 16 = 16
x = 16
Smallest number = 16
Largest number = x + 12 = 16 +12 = 28
