The HCF of two numbers is 145 and their LCM is 2175 . If one of the numbers is 725 . Find the other.

Answer

To find the other number when the HCF and LCM of two numbers are given, along with one of the numbers, we can use the relationship between HCF, LCM, and the two numbers. The formula we will use is:

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

### Step-by-Step Solution:

1. **Identify the given values:**
- HCF = 145
- LCM = 2175
- One number (let's call it Number 1) = 725

2. **Use the formula:**
\[ \text{HCF} \times \text{LCM} = \text{Number 1} \times \text{Number 2} \]
Plugging in the known values:
\[ 145 \times 2175 = 725 \times \text{Number 2} \]

3. **Calculate the left side:**
\[ 145 \times 2175 = 315375 \]

4. **Set up the equation:**
\[ 315375 = 725 \times \text{Number 2} \]

5. **Solve for Number 2:**
To find Number 2, divide both sides by 725:
\[ \text{Number 2} = \frac{315375}{725} \]

6. **Perform the division:**
\[ \text{Number 2} = 435 \]

### Conclusion:
The other number is **435**.