The HCF of two numbers is 23 and their LCM is 1449. If one of the number is 161, find the other .

Answer

To find the other number when the HCF (Highest Common Factor) and LCM (Least Common Multiple) of two numbers are given, we can use the relationship between these three values. The relationship is given by the formula:

\[ \text{HCF} \times \text{LCM} = \text{Number 1} \times \text{Number 2} \]

Given:
- HCF = 23
- LCM = 1449
- Number 1 = 161

We need to find Number 2.

### Step-by-Step Solution:

1. **Use the formula**:
\[ \text{HCF} \times \text{LCM} = \text{Number 1} \times \text{Number 2} \]

2. **Substitute the known values**:
\[ 23 \times 1449 = 161 \times \text{Number 2} \]

3. **Calculate the left side**:
\[ 23 \times 1449 = 33227 \]

4. **Set up the equation**:
\[ 33227 = 161 \times \text{Number 2} \]

5. **Solve for Number 2**:
\[ \text{Number 2} = \frac{33227}{161} \]

6. **Perform the division**:
\[ \text{Number 2} = 207 \]

### Final Answer:
The other number is **207**.