Find the smallest number such that it leaves a remainder of 2 when divided by 7 and leaves a remainder of 5 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 (+5) : 14, 23, 32, 41, 50, 59, 68
Smallest number: 23
Answer(s) : 23