1. The problem states: 64 is 4 times the difference between Sarah's age $a$ and 44, and Sarah is older than 44. 2. We translate this into an equation: 64 equals 4 times $(a - 44)$ because Sarah is older than 44, so the difference is $a - 44$. 3. Write the equation: $$64 = 4(a - 44)$$ 4. To find Sarah's age $a$, divide both sides by 4: $$\frac{64}{4} = a - 44$$ $$16 = a - 44$$ 5. Add 44 to both sides to isolate $a$: $$16 + 44 = a$$ $$60 = a$$ 6. Therefore, Sarah's age is $60$. Final answer: $a = 60$