1. **State the problem:** We are given that 64 is 4 times the difference between Sarah's age $a$ and 44, and Sarah is older than 44. 2. **Write the equation:** The difference between Sarah's age and 44 is $a - 44$. Since 64 is 4 times this difference, we write: $$64 = 4(a - 44)$$ 3. **Solve the equation:** Divide both sides by 4: $$\frac{64}{4} = a - 44$$ Simplify: $$16 = a - 44$$ Add 44 to both sides: $$a = 16 + 44$$ $$a = 60$$ 4. **Interpret the result:** Sarah's age is 60, which is indeed older than 44, satisfying the problem's condition. **Final answer:** $a = 60$