Question

the HCF of two numbers is 15 and their sum is 195. how many pairs of such numbers are possible?​

Answer 1

So let the numbers be 15x and 15y

As given their sum is 195

ATQ

15x+115y=195

15 (x+y)=195

x+y=13

So the number of pairs with 13 as their sum are (1,12),(2,11),(3,10)

That is three pairs

So the numbers are (15,180),(30,165), (45,150)