In the multiplication problem at the right different letters stand for different digits, and ABC and DBC each represent a three digit number. What number does DBC represent? Two answer possible; give one
What is the problem?
725
Yeah, I think the answer is 725. it's the greatest possible outcome.
To solve this problem, we need to look for any clues or hints given in the question. In this case, we are told that different letters stand for different digits, specifically ABC and DBC represent three-digit numbers.
Let's break down the given multiplication problem to understand it more easily:
ABC
x DBC
---------
_______
Based on this setup, we can identify that the product of ABC and DBC will generate a four-digit number. Since we know that the answer is a three-digit number, it means that the 'C' digit in both ABC and DBC must multiply to give a one-digit number.
Now let's analyze the options for the 'C' digit:
- If the 'C' digit is 1, then the product of the 'B' digit in ABC and DBC will have 'C' as the units digit.
- If the 'C' digit is greater than 1 (2, 3, 4, etc.), then the product of 'B' and 'C' digits will give a two-digit number.
Therefore, we conclude that 'C' must be equal to 1 to ensure that the product is a three-digit number. This means that ABC and DBC would look like this:
AB1
x DB1
---------
_______
Now, since we know that multiplying two numbers will give a three-digit number, we can conclude that the maximum value for any digit is 9, as multiplying two 3-digit numbers will never yield a 4-digit result.
So, to find the possible value for DBC, we need to try different numbers for A and B, keeping in mind that A, B, D, and even C (which is 1) should be different. We can start with A = 9 and B = 8:
981
x D81
---------
_______
Multiplying these numbers, we see that the result is a four-digit number (80184), which is not what we're looking for.
Next, we can try A = 8 and B = 9:
891
x D91
---------
_______
By multiplying these numbers, we obtain a four-digit result as well (81381), which doesn't fulfill the requirements. Therefore, we know that A cannot be 8 or 9.
Continuing this process of trial and error, we would eventually find the correct values of A, B, and D that satisfy the conditions and give the desired three-digit number for DBC. However, since there are multiple possibilities for DBC, I cannot provide an exact answer without more information or further error checking.
Hence, one possible outcome for the number DBC would be found by assigning A = 7, B = 4, and D = 2:
741
x 241
---------
17841
Therefore, DBC can represent the number 741.