2 numbers have the LCM of 30 and an HCF of 3 what are the numbers?

HCF of 3 means that the two numbers share 3 as a prime factor. LCM of 30 means there is a 2, a 3 and a 5 as prime factors between the numbers.

With this info, we can have the combination where one number has a 2 and the other a 5 (and both have the 3) or one number has just the 3 and the other has 2, 3 and 5.

Thus the 2 numbers can be 6 and 15. Or they can be 3 and 30.