What should be subtracted from the sum of 9909, 9099 and 9009 to obtain 25454 ?

Question

Accepted Answer

To determine what should be subtracted from the sum of 9909, 9099, and 9009 to obtain 25454, we first need to calculate the sum of these three numbers.

1. Calculate the sum:
   - 9909 + 9099 + 9009 = 28017

2. Determine what should be subtracted from this sum to get 25454:
   - 28017 - X = 25454

3. Solve for X:
   - X = 28017 - 25454
   - X = 2563

Therefore, the number that should be subtracted is 2563, which corresponds to Option 4.

**Explanation for why Option 4 is correct:**
- The calculation shows that subtracting 2563 from 28017 results in 25454, which matches the requirement of the problem. This confirms that Option 4 is the correct answer.

**Explanation for why the other options are incorrect:**
1. **Option 1 (2356):**
   - If we subtract 2356 from 28017, we get 28017 - 2356 = 25661, which does not equal 25454. Therefore, Option 1 is incorrect.

2. **Option 2 (2365):**
   - If we subtract 2365 from 28017, we get 28017 - 2365 = 25652, which does not equal 25454. Therefore, Option 2 is incorrect.

3. **Option 3 (2536):**
   - If we subtract 2536 from 28017, we get 28017 - 2536 = 25481, which does not equal 25454. Therefore, Option 3 is incorrect.

By following the logical steps and calculations, we confirm that Option 4 is the correct answer, as it is the only option that satisfies the condition of the problem.