When a number is divided by 8, the remainder is 1.
When the same number is divided by 9, the remainder is also 1.
What is the smallest possible number if the number is more than 69?
Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72
Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72
Lowest common multiple of 8 and 9 = 72
72 + 1 = 73
73 is more than 69.
Smallest possible number: 73
Answer(s): 73