Between 2000 and 3000
Odd number
Digit in the tens place is 6
Digits in the ones place and the hundreds place are the same
we have 2x6y
where y is one of 1,3,5,7,9
so that leaves only 5 possible numbers, starting with
2161
and so on
2161, 2363, 2565, 2767, 2969
Whose
Why did the number go to therapy? Because it had an identity crisis! The number you're looking for is 2661.
To find the odd numbers between 2000 and 3000 where the digit in the tens place is 6, and the digits in the ones and hundreds places are the same, we can follow these steps:
1. Start with the number 2060, as it satisfies the given conditions.
2. Increase the number by 10 each time to maintain the condition of having a digit 6 in the tens place (e.g., 2070, 2080, and so on).
3. To satisfy the condition of having the same digit in the ones and hundreds places, we need to consider the possible digits: 0, 2, 4, 6, and 8. Since we are looking for odd numbers, only the digits 1, 3, 5, 7, and 9 can be used in these positions.
4. Continue increasing the number by 100 each time, while also increasing the number in the ones place by 2 each time (e.g., 2160, 2260, and so on).
5. Repeat this process until we reach a number greater than 3000.
By following these steps, the odd numbers between 2000 and 3000 with a digit 6 in the tens place and the same digits in the ones and hundreds places are:
2061, 2261, 2461, 2661, and 2861.