Subjects algebra

Rushdi Age

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1. **State the problem:** Rushdi's father is currently five times as old as Rushdi. In three years, the father's age will be four times Rushdi's age. We need to find Rushdi's current age. 2. **Define variables:** Let $R$ be Rushdi's current age. Then, Rushdi's father's current age is $5R$. 3. **Set up the equation:** In three years, Rushdi's age will be $R + 3$ and his father's age will be $5R + 3$. According to the problem, at that time, the father's age will be four times Rushdi's age: $$5R + 3 = 4(R + 3)$$ 4. **Solve the equation:** $$5R + 3 = 4R + 12$$ Subtract $4R$ from both sides: $$5R - 4R + 3 = 12$$ $$R + 3 = 12$$ Subtract 3 from both sides: $$R = 9$$ 5. **Interpret the result:** Rushdi is currently 9 years old. **Final answer:** Rushdi is 9 years old now.