Final answer:
The second number is found by using the formula LCM × HCF = Number1 × Number2. With LCM as 48 and HCF as 8, and one number being 24, the second number is calculated as 16.
Step-by-step explanation:
The student asks about finding the second number when given the Least Common Multiple (LCM) and the Highest Common Factor (HCF) of two numbers, along with one of the numbers itself. To solve this, we need to use the relationship between the LCM and HCF of two numbers, which is given by the formula:
LCM × HCF = Number1 × Number2
In this case, we know that:
- LCM = 48
- HCF = 8
- Number1 = 24
Plugging these values into the formula gives us:
48 × 8 = 24 × Number2
Solving for Number2:
384 = 24 × Number2
Number2 = 384/24
Number2 = 16
Therefore, the second number is 16.