Question

The sum of two numbers is 135 and their HCF is 9. How many such pairs of numbers can be
formed?​

Answer 1

Hey Buddy,

Sum of two numbers = 135

Let the numbers be x and y respectively.

$x+y=135$

Given that HCF is 9

Therefore x would be of the form 9q and y would be of 9p

So, $9q+9p = 135$

$p+q = 15$

No of ordered pairs will be

Case 1 :-

  If x,y ∈ N

        Then ordered pairs are 14

                      (1,14), (2,13), ....... (14,1)

Case 2 :-

     if x,y ∈ W

         Then ordered pairs are 16

                        (0,15), (1,14) ........ (15,0)

I hope that it helps you utmost.

Please mark my answer as the Brainliest if it helps you