jack thinks of two numbers. He says “the HCF of my two numbers is 9. The LCM of my two numbers is 108”. Write down two numbers that jack could be thinking of

Question

the hcf of the two numbers is 9 and the lcm is 108

Answer 1

One number is 9a and the other 9b. Their LCM=108=9ab, and ab=12, so (a,b)=(1,12), (2,6), (3,4).

The numbers could be 9 and 108, or 27 and 36.