The given numbers have different number of digits.
The number with lesser number of digits is always smaller than those with more number of digits.
Comparing the two-digit numbers, 89 and 24:
We start by comparing the tens place.
Since 2 < 8
24 < 89
For the three digit numbers, we start by comparing the hundreds place.
Since 7 < 9
765 < 900.
Therefore, the numbers arranged in ascending order is:
3 < 24 < 89 < 765 < 900.