The digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 can be arranged into an addition sum to add up to almost any total, except that nobody has yet found a way to add up to 1984.
However 9 digits can equal 1984 by an addition sum.
Which digit is omitted?

The simple addition of three numbers of three digits each. In this problem all the digits given are wrong. Each digit represent a correct digit. Wherever the wrong digit appears it represents the same correct digit. Same correct digit represents the same wrong digit wherever it appears. Find the correct digits and the total.
1 6 7
1 7 1
1 6 7

In addition shown below, each of the letters A, B, C, D, and E represents one of the digits from 1 up to 5 (equal letters represent equal digits and different letters represent different digits). The first and last digits of the sum are given.

Below is an addition, sum with letters substituted for digits. One letter represents one digit only.
The same letter stands for the same digit wherever it appears.
Different letters stand for different digits.
Zero is also a digit.

B P P D Q P C
P R P D Q B D

X V D W T R C

Replace the letters with digits for the above sum.

In the addition below, all digits have been replaced by letters. Equal letters represent equal digits and different letters represent different digits.

What does the complete addition look like in digits?