Question

Two numbers differ by 4 and their product is 192. Find the numbers.

Answer 1

The two numbers would be 16 and 12

Step-by-step explanation:

Let the numbers be x and x+4, then we get:

x (x + 4) = 192

x² + 4x - 192 = 0

Factors of -192 are -16 and +12.

So  x² + 4x - 192 = 0 can be written as:

 x² + 12x -16x - 192 = 0

 x (x +12) -16 (x + 12) = 0

(x -16) (x +12) = 0

So the factors are (x -16) and (x +12).

If (x -16) = 0, then x = +16

If (x +12) = 0, then x = -12

Hence solved.

X = 16, -12

So the two numbers would be 16 and 12.