Competition Score Analysis

In a certain math competition, the final score of each participant is determined by adding the points earned in two rounds: Round A and Round B.

Let $S$ represent the final score of a participant. The scoring rules are as follows:

• Points in Round A: 10 points for each problem solved correctly.
• Points in Round B: 5 points for each problem solved correctly.

We want to determine whether $S$ is greater than 100.

Statement (1): The participant solved 7 problems correctly in Round A.

Statement (2): The participant solved 9 problems correctly in Round B.