The difference between two natural numbers is 16. The product of these natural numbers is 192. Find these numbers.

the two numbers are 24 & 8 .

Step-by-step explanation:

Here we have , The difference between two natural numbers is 16. The product of these natural numbers is 192.We need to Find these numbers. Let's find out:

Let two numbers be x & y , So  The difference between two natural numbers is 16 , i.e.

⇒  ...........(1)

The product of these natural numbers is 192 , i.e.

⇒

We know that , i.e.

⇒

⇒

⇒  { Since sum can't be negative as both numbers are positive }

⇒    ........(2)

Adding (1) & (2) :

⇒

⇒

⇒

So , y = 32-x = 32-24 = 8

Therefore , the two numbers are 24 & 8 .