Answer:
Certainly! Let's solve this step by step:
1. We know that the product of the **HCF** (highest common factor) and the **LCM** (least common multiple) of two numbers is equal to the product of those two numbers. Mathematically:
\[ \text{HCF} \times \text{LCM} = \text{Product of the numbers} \]
2. Given that the HCF is 8 and the LCM is 48, we can set up the equation:
\[ 8 \times 48 = 24 \times x \]
3. Solving for \(x\):
\[ 384 = 24x \]
\[ x = \frac{384}{24} = 16 \]
Therefore, the value of \(x\) is **16**.
Answer:
Step-by-step explanation: hcf(24,x)*lcm(24,x)=product of 24 and x
8*48=24*x
x=8*2
x=16
