Problem:
Determine how many two-digit numbers satisfy the following property: When the number is added to the number obtained by reversing its digits, the sum is .
Answer Choices:
A.
B.
C.
D.
E.
Solution:
Let be the two digit number. Then .
Thus . The possible numbers are: , and . There are seven two-digit numbers that meet this criterion.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions