What is the smallest number that, when increased by 3, is exactly divisible by 8, 12, and 18?

Explanation

First, find the least common multiple (LCM) of 8, 12, and 18, which is 72. Since the number plus 3 must be divisible by these numbers, subtract 3 from 72 to get 69. Therefore, 69 is the smallest number satisfying the condition.