If you add 2 to half of one-third of one-fifth of a certain number, the result equals one-fifteenth of that number. What is the number?

Explanation

Let the number be x. According to the problem: 2 + 1/2 × (1/3 × (x/5)) = x/15. Simplifying, 2 + x/30 = x/15. Subtracting x/30 from both sides gives 2 = x/15 - x/30 = x/30. Therefore, x = 60.