When I am rounded to the nearest hundred I am 400. The digit in my tens is 4 more than the digit in my hundreds place. The digits in my hundreds place and ones place are the same. What number am I?

373?

373

To find the number that meets the given conditions, we can start by identifying the possible values for the hundreds place. Since the number, when rounded to the nearest hundred, is 400, the hundreds place must be either 3 or 4.

Let's consider both cases:

Case 1: Hundreds place = 3
If the hundreds place is 3, then the tens place must be 4 more than 3, which is 7. Since the digits in the hundreds and ones place are the same, the number must follow the pattern of 373. However, when rounded to the nearest hundred, 373 becomes 400, so this case does not fit the given conditions.

Case 2: Hundreds place = 4
If the hundreds place is 4, then the tens place must be 4 more than 4, which is 8. Again, since the digits in the hundreds and ones place are the same, the number must follow the pattern of 484. When rounded to the nearest hundred, 484 becomes 500, so this case fits the given conditions.

Therefore, the number in question is 484.

350