The least common multiple of two numbers is 126 the greatest common factor is 9 the difference between the two numbers is 45 what are your two numbers?

Answer 1

Supose A = 9x and B = 9y are the two numbers, where x and y are coprime and x < y.

A*B = LCM*HCF

So that 9x*9y = 126*9

so x*y = 14

so (x,y) = (1,14) or (2,7).

Also, B - A = 45 or 9y - 9x = 45 so that y - x = 5

So (x,y) = (2,7) and the two numbers are 18 and 63.

Answer 2

18 and 63