The value of is A

Explanation: The three digits  and  are between  and  and distinct.

And from the rightmost column, we get

A + B + C = C

A + B = 10

If the sum is less than  it could not be equal to  So we must have a sum of  or A + B = 10\

A + B + C = 10 + CAlso, we can not take , because each digit is positive.

So the largest value of the sum is:

999 + 888 + 777 = 2664

Hence, either or B = 1 or B = 2

Thus, we have the following possibilities:

A + 1 + C = 10 + C and A + 2 + C = 10 + C

On solving each equation, we get

A = 9 and A = 8 respectively.

Final Answer: Hence, the correct option is (A).