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

Options

A. 5
B. 25
C. 45
D. 225

Answer

To find the other number when the LCM of two numbers is 225, their HCF is 5, and one number is 25, we can follow these steps:

### Step 1: Understand the relationship between LCM, HCF, and the two numbers
The relationship between the LCM (Least Common Multiple) and HCF (Highest Common Factor) of two numbers can be expressed as:
\[ \text{LCM} \times \text{HCF} = \text{Number 1} \times \text{Number 2} \]

### Step 2: Substitute the known values
Here, we know:
- LCM = 225
- HCF = 5
- Number 1 = 25
- Let Number 2 = x

Substituting these values into the equation gives:
\[ 225 \times 5 = 25 \times x \]

### Step 3: Calculate the left side of the equation
Now, calculate the left side:
\[ 225 \times 5 = 1125 \]
So, we have:
\[ 1125 = 25 \times x \]

### Step 4: Solve for x
To find x, divide both sides of the equation by 25:
\[ x = \frac{1125}{25} \]

### Step 5: Perform the division
Now, perform the division:
\[ x = 45 \]

### Conclusion
Thus, the other number is 45.