Anya is thinking of a two-digit number. She provides four statements about it, and exactly three of the following four statements are true:
(1) It is a multiple of 7.
(2) It is an even number.
(3) It is greater than 50.
(4) The product of its digits is 12.
This information is sufficient to uniquely determine the number. What is the sum of the digits of Anya's number?
6
7
8
9
10
