In finding the HCF of two numbrs by division method, the last divisor is 18 and quotients are 2, 7 and 3. Find the numbers.

Options

A. 639 and 846
B. 369 and 864
C. 396 and 846
D. None of these

Answer

To find the two numbers using the division method given the last divisor and the quotients, we can follow these steps:

### Step 1: Identify the last divisor and the quotients
The last divisor given is 18, and the quotients are 2, 7, and 3.

### Step 2: Calculate the value of C
Using the last divisor (18) and the last quotient (3), we can find the value of C (the second number in the division process):
\[ C = \text{Last Divisor} \times \text{Last Quotient} = 18 \times 3 = 54 \]

### Step 3: Calculate the value of A
Now, we will use the second quotient (7) to find the value of A (the first number in the division process):
\[ A = C \times \text{Second Quotient} + \text{Last Divisor} = 54 \times 7 + 18 \]
Calculating this gives:
\[ A = 378 + 18 = 396 \]

### Step 4: Calculate the value of B
Next, we will use the first quotient (2) to find the value of B (the second number):
\[ B = A \times \text{First Quotient} + C = 396 \times 2 + 54 \]
Calculating this gives:
\[ B = 792 + 54 = 846 \]

### Final Result
Thus, the two numbers are:
- A = 396
- B = 846

### Summary
The two numbers are 396 and 846.

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