Let the larger number be ‘x’
Since the difference of two numbers is 4,
Then the smaller number is (x – 4)
Their product = x(x – 4)
Given that product = 192
∴ x(x – 4) = 192
⇒ x2 – 4x – 192 = 0
⇒ x2 – 16x + 12x- 192 = 0
⇒ x(x – 16) + 12(x – 16) = 0
⇒ (x – 16)(x + 12) = 0
⇒ x = 16 or x = -12
If x = 16, then x – 4 = 16 – 4 = 12
then the numbers are 16 and 12.
If x = – 12, then x-4 = – 12 – 4 = – 16
then the numbers are – 12 and – 16.