Jayla started babysitting when she was 18 years old. Whenever she babysat for a child, that child was no more than half her age at the time. Jayla is currently 32 years old, and she stopped babystting 10 years ago. What is the current age of the oldest person for whom jayla could have babysat?

Answer

To find the current age of the oldest person for whom Jayla could have babysat, we will follow these steps:

1. **Determine Jayla's babysitting age range**:
- Jayla started babysitting at the age of 18 and stopped at the age of 22. Therefore, she babysat from ages 18 to 22.

2. **Calculate the maximum age of children she babysat**:
- When Jayla was 18 years old, the maximum age of the child she could babysit would be half her age:
\[ \text{Max age at 18} = \frac{18}{2} = 9 \text{ years old} \]
- When Jayla was 22 years old, the maximum age of the child she could babysit would be:
\[ \text{Max age at 22} = \frac{22}{2} = 11 \text{ years old} \]

3. **Determine the ages of the oldest children she babysat**:
- If Jayla babysat a child who was 9 years old when she was 18, then that child's current age would be:
\[ \text{Current age} = 9 + (32 - 18) = 9 + 14 = 23 \text{ years old} \]
- If Jayla babysat a child who was 11 years old when she was 22, then that child's current age would be:
\[ \text{Current age} = 11 + (32 - 22) = 11 + 10 = 21 \text{ years old} \]

4. **Identify the oldest child**:
- The oldest child Jayla could have babysat is the one who was 9 years old when she was 18, who is now 23 years old.

Thus, the current age of the oldest person for whom Jayla could have babysat is **23 years old**.