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We are given the following information:

- LCM (Least Common Multiple) of two numbers = 225
- HCF (Highest Common Factor) of the two numbers = 5
- One of the numbers = 25

We need to find the other number.

We know the relationship between the LCM, HCF, and two numbers:
\[
\text{LCM} \times \text{HCF} = \text{Product of the two numbers}
\]
Let the unknown number be \( x \).

Using the formula:
\[
225 \times 5 = 25 \times x
\]
Now, solving for \( x \):
\[
1125 = 25 \times x
\]
\[
x = \frac{1125}{25}
\]
\[
x = 45
\]

Thus, the other number is 45.

Would you like further clarification or more details?

Here are five related questions:
1. What is the formula to find the product of two numbers using their LCM and HCF?
2. Can two numbers have the same LCM and HCF? Why or why not?
3. How does the LCM of two numbers change if one of the numbers is doubled?
4. What happens to the HCF if one number is a multiple of the other?
5. How is LCM useful in solving problems involving fractions?

**Tip:** Always verify the relationship between the LCM, HCF, and the product of the numbers when solving related problems.

LCM of two numbers is 225 and their HCF is 5. If one number is 25, the other number will be:

Learn how to find the other number when the LCM is 225, the HCF is 5, and one number is 25. This problem explores the relationship between LCM, HCF, and the product of two numbers. Suitable for students in Grades 6-8.

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