x is the number
x/5=5a+4
2 digits that are odd
sum is 10
ah, we can make a bit of stuff with the last 2 hints
sum is 10 and are odd
that is
9 and 1
3 and 7
5 and 5
so our possible numbers are
91,19,37,73,55
but 55 is divsible by 5 so it is out
91,19,37,73
test each
91/5 has remainder 1
19/5 has remainder 4
37/5 has remainder 2
73/5 has remainder 3
the number is 19