I'm thinking of a number made from the digits 3,6 and 9. Each digit is used only once. My number is an even number. My number is greater than 400. What is my number?
The largest number must be the first.
The last number must be 6.
9 3 6
936
To find the answer, we need to consider the given conditions:
1. The digits used are 3, 6, and 9, which means the number is composed of these three digits only and each digit is used only once.
2. The number is an even number, which means the units digit must be either 6 or 9.
3. The number is greater than 400.
To find the answer, we can start by analyzing the possibilities for the units digit, which can be either 6 or 9.
Case 1: Units digit is 6
If the units digit is 6, we know that the hundreds digit cannot be 6 or 9 since each digit can only be used once. So, the hundreds digit can only be 3. The remaining digit, 9, is the tens digit. Therefore, the number will be 396.
Case 2: Units digit is 9
If the units digit is 9, similarly, we know that the hundreds digit cannot be 6 or 9, so it must be 3. The remaining digit, 6, is the tens digit. Therefore, the number will be 369.
Both possibilities have been considered, and these are the only numbers that match the given conditions. So, your number is either 396 or 369.