Which of the following numbers are divisible by 9?
(i) 6732018 `" "` (ii) 5683712.

Answer

To determine whether the numbers 6732018 and 5683712 are divisible by 9, we will follow these steps:

### Step 1: Understand the Rule for Divisibility by 9
A number is divisible by 9 if the sum of its digits is divisible by 9.

### Step 2: Check the First Number (6732018)
1. **Identify the digits**: The digits of the number 6732018 are 6, 7, 3, 2, 0, 1, and 8.
2. **Add the digits**:
- 6 + 7 = 13
- 13 + 3 = 16
- 16 + 2 = 18
- 18 + 0 = 18
- 18 + 1 = 19
- 19 + 8 = 27
3. **Check divisibility**: The sum of the digits is 27. Since 27 is divisible by 9 (27 = 9 × 3), the number 6732018 is divisible by 9.

### Step 3: Check the Second Number (5683712)
1. **Identify the digits**: The digits of the number 5683712 are 5, 6, 8, 3, 7, 1, and 2.
2. **Add the digits**:
- 5 + 6 = 11
- 11 + 8 = 19
- 19 + 3 = 22
- 22 + 7 = 29
- 29 + 1 = 30
- 30 + 2 = 32
3. **Check divisibility**: The sum of the digits is 32. Since 32 is not divisible by 9, the number 5683712 is not divisible by 9.

### Final Conclusion
- The number **6732018** is **divisible by 9**.
- The number **5683712** is **not divisible by 9**.

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