Question

the hcf of two no is 16 and their difference is 16.Find the numbers​

Answer 1

Step-by-step explanation:

Consider the provided information.

It is given that the hcf of two no is 16 and their difference is 16.

Consider the numbers are 16x and 16y where x and y are co-prime numbers.

|16x - 16y| = 16

16 |x - y| = 16

|x - y| = 1

There are infinitely many possibilities to choose x and y few of numbers are:

When x = 2 , y = 1

So, the numbers can be 32 and 16.

When  x = 3 , y = 2

So the numbers can be 48 and 32.

Similarly there are infinite numbers whose hcf is 16 and difference is 16.