To find the correct number, let's use the clues given one by one:
The number has a 6 in the tens place. This means the second to last digit is 6.
The number in the ones place is one more than 8. Therefore, the ones place is 9.
There is a 3 in the ten thousands place. Thus, the first digit of the number is 3.
The number in the hundreds place is between 6 and 8. This means the hundreds place must be 7 because that's the only number between 6 and 8.
The number in the thousands place is 4 less than 10. Therefore, the thousands place is 6.
Combining all these pieces of information, the number is 36,769.
So, the number is 36,769 .