2 numbers have these properties:
- are greater than 6
- their hcf is 6
- their lcm is 60
find the 2 numbers, and explain how you found them.
The two numbers are 12 and 30.
The highest common factor (hcf) of two numbers is the largest number that divides both numbers exactly. The hcf of two numbers is 6, so the two numbers must both be divisible by 6. The lowest common multiple (lcm) of two numbers is the smallest number that is a multiple of both numbers. The lcm of two numbers is 60, so the two numbers must both be factors of 60.
Therefore, the two numbers must both be divisible by 6 and factors of 60. The two numbers that meet these criteria are 12 and 30.