One witness to a crime said that the suspect was 25 years old and 69 inches tall. A second witness claimed that the suspect was 35 years old and 74 inches tall. The third witness reported that the suspect was 65 inches tall and 35 years old. Each witness correctly identified either the suspect's height or age, but not both. If $a$ is the suspect's age in years, and $b$ is the suspect's height in inches, what is the value of the sum $a + b$?