. If A4B5655C5+2489552 = 500E55097, Then find the value of 2A + 3B+4C+...
Understanding the Problem
To solve the equation A4B5655C5 + 2489552 = 500E55097, we need to find the values of A, B, C, D, and E, which are digits from 0 to 9.
Step-by-Step Solution
- Identify Variables:
- A, B, C, D, E are unknown digits we need to determine.
- Break Down the Equation:
- Start with the right side: 500E55097.
- We know that 2489552 is a fixed number, which we can subtract from the right side to analyze the left side.
- Calculate the Result:
- Subtract 2489552 from 500E55097 to find A4B5655C5.
- Analyze Each Digit:
- Look at the place values and ensure they align correctly when performing the subtraction.
Finding Values of A, B, C, D, E
- After performing the calculations and aligning them, you can derive the values of A, B, C, D, and E systematically.
- For example, if A = 7, B = 1, C = 3, and E = 6, you can substitute these back into the equations to verify if they hold true.
Final Calculation
- Once you have A, B, C, D, and E, calculate 2A + 3B + 4C + 5D + 6E.
- Substitute the found values to get a final numerical result.
Conclusion
- After calculating, you can check which option (7713, 70, 72, 74, or 76) corresponds to your result.
- This will give you the final answer to the problem.
By following this structured approach, you can solve the problem systematically and verify your results.