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ADEORV find the 24th word in dictionary order

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If the two expressions x2 â?? 11x + A and x2 â?? 14x + 2A have a common factor, find A. In a base 7, a number is written using 0,1...6. The number 1 in base 7 is equal to 2*7+1=15 in base 10. Similarly, the number 135 on base 7 is 1*72+3*7+5=75 in base 10. What is the sum of the base 7 number 1234 and 6543 in base 7.