IPM mega finals STD IV answers

In the addition Problem at the right, find the sum of the digits represented by B and C. Different letters represent different digits. Each time a same letter appears, it represents the same digit.

                                      2   B   A
                                +   C   6    D
                                      8   A   D




Answer:

Since A + D = D , So, A = 0
since B + 6 = 0 , B must be 4. There is carry 1 to the next place.
2 + C + 1 (carry) = 8
or, C = 5

So, B + C = 4 + 5 = 9