Subjects algebra

Age Problem Cb83Aa

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. **State the problem:** We need to find the current age given that it is four times the difference between the age after four years and the age three years ago. 2. **Define variables:** Let $x$ be the current age. 3. **Translate the problem into an equation:** The age after four years is $x + 4$. The age three years ago is $x - 3$. The difference is $(x + 4) - (x - 3) = x + 4 - x + 3 = 7$. 4. **Set up the equation based on the problem statement:** Current age $x$ is four times this difference: $$x = 4 \times 7$$ 5. **Solve the equation:** $$x = 28$$ 6. **Answer:** The current age is 28 years old.