Joy Leo Ages
1. **State the problem:**
Joy is 9 years older than Leo. Three years ago, the sum of their ages was 29. We need to find Joy's current age.
2. **Define variables:**
Let $L$ be Leo's current age.
Since Joy is 9 years older, Joy's age is $J = L + 9$.
3. **Express the condition from three years ago:**
Three years ago, Leo's age was $L - 3$, and Joy's age was $J - 3 = L + 9 - 3 = L + 6$.
The sum of their ages then was $29$, so:
$$ (L - 3) + (L + 6) = 29 $$
4. **Solve the equation:**
Combine like terms:
$$ 2L + 3 = 29 $$
Subtract 3 from both sides:
$$ 2L = 26 $$
Divide both sides by 2:
$$ L = 13 $$
5. **Find Joy's current age:**
Recall $J = L + 9$, so:
$$ J = 13 + 9 = 22 $$
**Final answer:** Joy is currently 22 years old.