Write the greatest and smallest $6$ -digit numbers using any three different digits with $9$ in the tens place.

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Solution

First of all, write $9$ in the tens column. For the greatest number, we write the greatest digit $9$ in all columns. $8$ in hundreds and $7$ in one's column.
L
T-Th
Th
H
T
O
$9$
$9$
$9$
$8$
$9$
$7$
Therefore, The greatest number $= 999897$
For the smallest number also, write $9$ in the tens column, and $1$ in the Lakh column, $0$ in all the remaining columns.
L
T-Th
Th
H
T
O
$1$
$0$
$0$
$0$
$9$
$0$
Therefore, the smallest number $= 100090$

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