The two ages add up to twice the average. Tammie is one unit plus 6; her sister is one unit.

[[model:questions/solutions/q4672.png]]

• Total → 2 × 12 = 24
• 2 units + 6 → 24
• 2 units → 24 − 6 = 18
• 1 unit (sister) → 18 ÷ 2 = 9
• Tammie → 9 + 6 = 15

Tammie is 15 years old and her younger sister is 9 years old.
Check: (15 + 9) ÷ 2 = 12 and 15 − 9 = 6. ✓