i m a 3 digit number

i m 700 rounded to the nearest 100
if you round me to the nearest 10,i round down not up
my tens digit is odd, but i am even
who am i ?

n is between 651 and 749

The last digit is between 0 and 4
Looks like we can choose from
650,652,654,...730,732,734

752

756

The answer is 752.

If rounded to the nearest 100, 752 rounded to 700.

If rounded to the nearest 10, the digit in the tens place is 5, which rounds down to 4. So, the number can be written as 75_ where the blank is either 0, 2, 4, 6, or 8.

Since the number is even and the tens digit is odd, the only option for the blank is 2. Therefore, the number is 752.

To find the answer to the riddle, let's break it down step by step:

1. The number is 700 when rounded to the nearest hundred. This means the number is between 650 and 749.
2. The number, when rounded to the nearest ten, rounds down. This narrows down the options to numbers between 650 and 659 since they round down to 650.
3. The tens digit of the number is odd but the number itself is even. This means the ones digit is either 2, 4, 6, or 8.
4. Since the ones digit is even and the tens digit must be odd, we can eliminate the possibility of a number ending in 8 or 2. This leaves us with two possible options: 654 and 656.

Therefore, the answer to the riddle is either 654 or 656.