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QOD

 

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a+b+c = x – 2013

63a+7b=2416-x

x=2416 – 63a – 7b

only possible value of a is 6 because if a is greater than 6 then sum goes over 403 and if a is less than 6 and b and c have maximum value of 9, the maximum total sum is 401

so take a = 6

x=2416-378-7b

x=2038-7b

only possible value for 2 because if b is greater than 2 then sum goes over 403 and if b is less than 2 and c has maximum value of 9, the maximum total sum is 401

we take b = 2

then we get

x = 2024

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