ABC
*AA
Ans: AC6C
Find ABC values?
To find the values of ABC, we need to solve the given equation:
ABC
*AA
------
AC6C
Let's break down the process step by step:
1. Start with the bottom-most digit, which is C. For the equation to hold true, C multiplied by A must equal C. Since C multiplied by any number will always equal C, we can determine that C can be any digit from 0 to 9.
2. Moving on to the next digit, which is B, we need to find a value that makes the equation valid. B multiplied by A must equal 6, and we know that the result will be in the units (rightmost) position since A multiplied by A equals A. Therefore, B multiplied by A must result in C (the units digit) and 6 (the desired value for the units position). Since we don't have any further information, we can't determine a specific value for B at this point.
3. The next digit is A. In this case, we need to find a value that makes the equation valid. A multiplied by A must yield A (the units digit) in the rightmost position. This means A can only be 1 or 5, as those are the only numbers that, when multiplied by themselves, result in the same digit in the units position.
So, if there is only one possible value for A, which is A=1 or A=5, then we can't determine unique values for B or C based on the given information, and the equation has multiple solutions.
Therefore, the answer is that the values of ABC can be any digits from 0 to 9, and there are multiple possible solutions for this equation.