I am an interger greater than 0 and less than 100.

I am a multiple of 3
The sum of my digits is a multiple of 9
Show all work and explain how you obtained your answer.

What is 99?

what is 36?
What is 18?
qhat is 72?

want more?

2B

To find the number that meets the given criteria, we need to identify integers greater than 0 and less than 100 that are multiples of 3 and have a digit sum that is a multiple of 9.

Let's break down the problem step by step:

Step 1: Identify multiples of 3 between 0 and 100.
Start with the number 3 and keep adding multiples of 3 until you reach 99.
3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93, 96, 99.

Step 2: Identify the numbers with a digit sum that is a multiple of 9.
To determine if the sum of the digits is a multiple of 9, add the individual digits of the numbers we found above and see if the result is divisible by 9.

For example, let's take the number 27. The sum of its digits is 2 + 7 = 9. Since 9 is divisible by 9, the number 27 meets both criteria.

If we continue this process for all the numbers we found, we will discover that the following numbers meet both criteria: 9, 18, 27, 36, 45, 54, 63, 72, 81, and 90.

Therefore, these are the integers greater than 0 and less than 100 that are multiples of 3 and have a digit sum that is a multiple of 9.