find a 9 digit # that fits. the first3 #'s equal 1/3 of the last 3. The middle 3 #'s are the result of subtracting the first 3 from the last 3. All the digits from 1-9 are used only once. What is the number

figured it out on my own thnx

Could someone give me the answer? Thank you.

To find the 9-digit number that fits the given conditions, we can go through a step-by-step process:

Step 1: Determine the range of possible values for the first three digits.
Since the first three digits are equal to 1/3 of the last three digits, their sum must be divisible by 3. The sum of the digits 1 to 9 is 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = 45. The only two combinations of three numbers that add up to a multiple of 3 are {1, 2, 6} and {3, 4, 5}.

Step 2: Determine the range of possible values for the last three digits.
Since the first three digits are equal to 1/3 of the last three digits, we can multiply each possible combination from Step 1 by 3.
For {1, 2, 6}, the possible values for the last three digits can be calculated as: 3 * 1, 3 * 2, and 3 * 6, resulting in 3, 6, and 18.
For {3, 4, 5}, the possible values for the last three digits can be calculated as: 3 * 3, 3 * 4, and 3 * 5, resulting in 9, 12, and 15.

Step 3: Determine the range of possible values for the middle three digits.
According to the given condition, the middle three digits are the result of subtracting the first three from the last three digits. We subtract the numbers in each possible combination from Step 1 from the corresponding numbers in Step 2.
Using the possible values for the first three digits from {1, 2, 6}, and the possible values for the last three digits from {3, 6, 18}, we get the middle three digits: 3 - 1, 6 - 2, and 18 - 6, which gives us 2, 4, and 12.
Using the possible values for the first three digits from {3, 4, 5}, and the possible values for the last three digits from {9, 12, 15}, we get the middle three digits: 9 - 3, 12 - 4, and 15 - 5, which gives us 6, 8, and 10.

Step 4: Check if any of the combinations satisfy the condition of using all the digits from 1-9 only once.
Combining the possible values for the first three digits, middle three digits, and last three digits, we get the following combinations:
1. First three digits: 1, 2, 6; Middle three digits: 2, 4, 12; Last three digits: 3, 6, 18.
2. First three digits: 1, 2, 6; Middle three digits: 2, 4, 12; Last three digits: 3, 18, 6.
3. First three digits: 3, 4, 5; Middle three digits: 6, 8, 10; Last three digits: 9, 12, 15.

To check if any of these combinations satisfy the condition of using all digits from 1-9 only once, we need to examine if there are any duplicate numbers within each combination. If there are no duplicates in any combination, then we have found our answer.

By analyzing the combinations, we can see that combination #3 satisfies all the conditions. Therefore, the number that fits the given conditions is 346581912.