Find the smallest number such that it leaves a remainder of 2 when divided by 7 and leaves a remainder of 3 when divided by 9.
Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63
Multiples of 9: 9, 18, 27, 36, 45, 54, 63
Multiple of 7 (+2) : 9, 16, 23, 30, 37, 44, 51, 58, 65
Multiple of 9 (+3) : 12, 21, 30, 39, 48, 57, 66
Smallest number: 30
Answer(s) : 30