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 one number is given, we can use the relationship between the HCF (Highest Common Factor), LCM (Lowest Common Multiple), and the two numbers. The relationship is given by the formula:

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

Let's denote:
- HCF = 145
- LCM = 2175
- Number 1 (given) = 725
- Number 2 (unknown) = B

Now, we can substitute the known values into the formula:

\[ 145 \times 2175 = 725 \times B \]

Now, let's calculate the left side:

1. Calculate \(145 \times 2175\):
\[ 145 \times 2175 = 315375 \]

2. Now we have:
\[ 315375 = 725 \times B \]

3. To find B, we will rearrange the equation:
\[ B = \frac{315375}{725} \]

4. Now, we will perform the division:
\[ B = 435 \]

Thus, the other number is **435**.

### Summary of Steps:
1. Use the formula relating HCF, LCM, and the two numbers.
2. Substitute the known values into the formula.
3. Calculate the product of HCF and LCM.
4. Rearrange the equation to solve for the unknown number.
5. Perform the division to find the value of the other number.