Find the smallest number such that it leaves a remainder of 6 when divided by 7 and leaves a remainder of 7 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 (+6) : 13, 20, 27, 34, 41, 48, 55, 62, 69
Multiple of 9 (+7) : 16, 25, 34, 43, 52, 61, 70
Smallest number: 34
Answer(s) : 34