How do you find the answer?Maureen likes to play a game in which she reduces a number to a single digit. She adds the digits of the number together. When the total is still greater than nine, she adds the digits of the total together and continues in this way until she ends up with a single digit number. If Maureen does this for each of the integers from one to 100, how many times will she end up with a final result equal to one?

## Comments

I am not sure if this helps you find the answer, but this process is used in the divisibility rules for 3 and 9.

If you add the digits up to a single digit number that it 3, 6, or 9, the number is divisible by 3.

If you add up the digits to the number 9, then the number is divisible by 9.