Question

Can any kind soul help me ASAP ​

Answer 1

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