Ellie's favorite number is the least 3-digit number greater than 200 that satisfies the following conditions: (1) it is a multiple of 6 (2) the sum of the digits is 9 What is Ellie's favorite number?

To find Ellie's favorite number, we know it must be a 3-digit number greater than 200, a multiple of 6, and the sum of its digits should equal 9. The smallest 3-digit number greater than 200 is 201. Now we look for a number that meets all conditions. 1. Since it’s a multiple of 6, the number must be even (to be a multiple of 2) and the sum of its digits must be divisible by 3 (to be a multiple of 3). 2. We need to ensure that the digits sum to 9. Let’s start checking the eligible numbers starting from 204 (the smallest even number after 201): - 204 → 2 + 0 + 4 = 6 (not 9) - 206 → 2 + 0 + 6 = 8 (not 9) - 208 → 2 + 0 + 8 = 10 (not 9) - 210 → 2 + 1 + 0 = 3 (not 9) - 216 → 2 + 1 + 6 = 9 (meets the sum condition and is even) Next, we check if 216 is a multiple of 6. Since 216 is even and the sum of its digits (2 + 1 + 6 = 9) is divisible by 3, 216 is indeed a multiple of 6. Thus, Ellie's favorite number is **216**!