Subjects algebra

Aunt Age

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Aunt Age


1. **State the problem:** Lisa is 7 years old. Her aunt says, "When you reach my current age, I will be 41 years old." We need to find Lisa's aunt's current age. 2. **Define variables:** Let $x$ be the aunt's current age. 3. **Translate the problem into an equation:** The difference in age between the aunt and Lisa is $x - 7$. Lisa will reach the aunt's current age $x$ in $x - 7$ years. 4. **According to the aunt's statement:** In $x - 7$ years, the aunt will be 41 years old. So, the aunt's age plus $x - 7$ years equals 41: $$x + (x - 7) = 41$$ 5. **Solve the equation:** \begin{align*} x + x - 7 &= 41 \\ 2x - 7 &= 41 \\ 2x &= 41 + 7 \\ 2x &= 48 \\ x &= \frac{48}{2} \\ x &= 24 \end{align*} 6. **Answer:** Lisa's aunt is currently **24 years** old.