Andrés's age is three times Quan's. plus wins and both ages add up to 69 years. Nillar both ages.

Solution:
1. Define variables:
- Let a be the age of Andrés.
- Let q be the age of Quan.

2. Set up the equations based on the problem:
- Andrés is three times as old as Quan: a = 3q
- The sum of their ages is 69: a + q = 69

3. Substitute a = 3q into the second equation:
3q + q = 69

4. Simplify the equation:
4q = 69

5. Solve for q:
q = \frac{69}{4}

6. Compute q:
q = 17.25

7. Find a using the equation a = 3q:
a = 3 \times 17.25

8. Compute a:
a = 51.75

Therefore:
- Quan is approximately 17.25 years old.
- Andrés is approximately 51.75 years old.