Problem:
In the addition shown below , and are distinct digits. How many different values are possible for ?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
As indicated by the leftmost column . Then both the second and fourth columns show that . Because , and are distinct digits, must be at least 3 . The following values for show that may be any of the digits that are at least , .
The problems on this page are the property of the MAA's American Mathematics Competitions