Replacing * to form numbers divisible by 3

In order to replace the * in the given numbers and form numbers that are divisible by 3, we need to find the smallest and greatest digits in each number. Let's go through the process step by step.

Step 1: Identify the smallest and greatest digits

Let's start by finding the smallest and greatest digits in each number:

Number 1: 4*96
The smallest digit is 4 and the greatest digit is 9.

Number 2: 35*2
The smallest digit is 2 and the greatest digit is 5.

Number 3: 2*47
The smallest digit is 2 and the greatest digit is 7.

Step 2: Replace * with the smallest and greatest digits

Now that we have identified the smallest and greatest digits in each number, we can replace the * with these digits to form new numbers. The new numbers should be divisible by 3.

Number 1: 496
Since the original number is already divisible by 3, we don't need to make any changes. The number 496 is divisible by 3.

Number 2: 352
We replace the * with the smallest digit, which is 2. The new number becomes 352. To check if it is divisible by 3, we can add up its digits: 3 + 5 + 2 = 10. Since 10 is not divisible by 3, the number 352 is not divisible by 3.

Number 3: 227
We replace the * with the greatest digit, which is 7. The new number becomes 227. Adding up its digits: 2 + 2 + 7 = 11. Since 11 is not divisible by 3, the number 227 is not divisible by 3.

Step 3: Conclusion

Out of the three numbers, only the first number 496 is divisible by 3 when we replace the * with the smallest and greatest digits. The numbers 352 and 227 are not divisible by 3.

Therefore, the numbers formed after replacing * with the smallest and greatest digits, which are divisible by 3, are 496.