If A4B5655C5 +2489552 =5D0E55097
Then find the value of 2A +3B +4C+5D+6E
Answers
Answer:
Step-by-step explanation:
Answer: We are given the following equation:
A4B5655C5 +2489552 =5D0E55097
We must first determine the values of A, B, C, D, and E in order to find the value of 2A + 3B + 4C + 5D + 6E.
Step-by-step explanation:
The last digit on the left-hand side of the equation is 7, which indicates that the last digit on the right-hand side must also be 7. We can therefore conclude that E = 7.
The numbers on both sides of the equation can then be added to get:
A + 4 + B + 5 + 6 + 5 + 5 + C + 5 + 2 + 4 + 8 + 9 + 5 + 5 + 2 = 5 + D + 0 + E + 5 + 5 + 0 + 9 + 7
If we condense this phrase, we get:
A + B + C + 36 = D + 26
When this expression is rearranged, we get:
A + B + C - D = -10
The information that the number 5D0E55097 is obtained by adding the number A4B5655C5 to 2489552 must now be used. This equation can be rewritten as follows:
A4B5655C5 = 5D0E55097 - 2489552
By condensing the right side, we obtain:
A4B5655C5 = 5D0C95545
Since C is the only digit that appears in both A4B5655C5 and 5D0C95545 in the same position, we can deduce from this equation that C = 4.
We can now change the values for C and E in the expression we previously derived to:
A + B + 4 - D = -10
If we condense this phrase, we get:
A + B - D = -14
Finally, using the knowledge that 2A + 3B + 4C + 5D + 6E = 2A + 3B + 4(4) + 5D + 6(7) = 2A + 3B + 4 + 5D + 42, we can use this information. When we substitute the earlier-derived expression for A + B - D, we obtain:
2A + 3B + 4 + 5D + 42 is equal to 2(A + B - 14) + 5D + 46 is equal to 2A + 2B - 28 + 5D + 46 is equal to 2A + 3B + 5D + 18
As a result, we are unable to determine the value of 2A + 3B + 4C + 5D + 6E, which is 2A + 3B + 5D + 18.
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