Use the digits below to answer the number riddle.

2 4 9 6 7 3
The difference between two 3-digit numbers is a palidrome between 200 and 300,What are the numbers?

Hi Tina,

A palindromic number is a symmetrical form, in this case, xyx, where x has to be 2 as the number is between 200 and 300.
We'll ignore the y to move on to finding the x.
Create two numbers where the difference of the hundreds place = 2.
For example, 9y9 and 7y7. Or maybe 4y4 and 2y2. Whatever it is, the first number and last number of both digits must be the same for a symmetrical answer.
Then, choose a y, any digit from the list above. Those will be your numbers.
Just remember, the y in the number with the bigger x has to be bigger than the y in the number with the smaller x.
For example, we could use 969 and 737. This gives us 232, a palindrome number. Also, we could use 636 and 424. This gives us 212, which is also a palindrome number. There are several possibilities, go ahead and try them out! :)

Hope I helped. Sorry for the lengthy post. Let me know if you have any problems understanding this.

Sorry cannot solve it - too hard

I do not get it

Still do not get it

Still no

Is anyone helping me?

Dose anyone see this?

Still nothing

To solve this riddle, we need to find two 3-digit numbers whose difference is a palindrome between 200 and 300. Let's break down the problem step by step:

Step 1: Generate all possible combinations of two 3-digit numbers using the given digits: 2, 4, 9, 6, 7, 3.

Step 2: Calculate the difference between each pair of numbers and check if it is a palindrome between 200 and 300.

Step 3: Identify the numbers that satisfy the conditions mentioned in the riddle.

Let's start with step 1 by generating all possible combinations of two 3-digit numbers using the given digits:

2 4 9 6 7 3

To generate these combinations, we can use the concept of permutations. Permutations refer to the arrangement of elements where the order matters. In this case, we need to find all possible permutations of 3 digits from the given 6 digits.

Using a permutation calculator or manually arranging the digits, we can create the following combinations:

249, 296, 297, 293
246, 249, 247, 243
247, 246, 249, 243
...

Continue generating all combinations of three-digit numbers using the given digits.

Next, let's move on to step 2 and calculate the difference between each pair of numbers. We will also check if the difference is a palindrome between 200 and 300.

For example, take the pair (249, 296):

249 - 296 = -47 (Note: The order of subtraction matters)

Since -47 is negative, it is not a valid difference for this riddle.

Continue calculating the differences and checking if they are palindromes between 200 and 300.

Finally, in step 3, identify the numbers that satisfy the conditions mentioned in the riddle. Go through the list of differences and find the ones that are palindromes between 200 and 300. The corresponding pairs of numbers will be the answer to the riddle.

By following these steps, you should be able to determine the numbers that satisfy the given conditions!