Find the smallest postive integre that gives a remander of 2 when divided by either 3 0r 7, and gives a remainder of 3 when divided by 5.

numbers which leave a remainder of 2 when divided by 3 ar

5 7 9 11 13 15 17 19 21 23 25 ..
leave a remainder of 2 when divided by 7
9 16 23 30 37 ...
leave a remainder of 3 when divided by 5
8 13 18 23 28 33 ...

mmmmh, I see 23 in all three rows, ....