22. (3 points) A natural number divided by 8 gives a quotient, and when this number is divided by 9, the remainder is added to the quotient. The sum is 13. Find all natural numbers that satisfy this condition.
【Solution】Solution: Let this number be $n$, the remainder $r$ when divided by 9 is $\leqslant 8$, so the quotient $q$ when divided by 8 is $\geqslant 13-8=5$, and obviously $q \leqslant 13$.
$q=5$ when, $r=8, n=5 \times 8+4=44$;
$q=6$ when, $r=7, n=6 \times 8+4=52$;
$q=7$ when, $r=6, n=7 \times 8+4=60$;
$q=8$ when, $r=5, n=8 \times 8+4=68$;
$q=9$ when, $r=4, n=9 \times 8+4=76$;
$q=10$ when, $r=3, n=10 \times 8+4=84$;
$q=11$ when, $r=2, n=11 \times 8+4=92$;
$q=12$ when, $r=1, n=12 \times 8+4=100$;
$q=13$ when, $r=0, n=13 \times 8+4=108$.
There are 9 natural numbers that satisfy the condition: $108,100,92,84,76,68,60,52,44$.
Answer: There are 9 natural numbers that satisfy the condition: $108,100,92,84,76,68,60,52,44$.