1. **State the problem:** We need to find the current ages of Noori and Sonu given two conditions: - 5 years ago, Noori was three times as old as Sonu. - 10 years from now, Noori will be twice as old as Sonu. 2. **Define variables:** Let $N$ be Noori's current age and $S$ be Sonu's current age. 3. **Write equations from the problem:** - Five years ago, Noori's age was $N - 5$ and Sonu's age was $S - 5$. According to the problem: $$N - 5 = 3(S - 5)$$ - Ten years later, Noori's age will be $N + 10$ and Sonu's age will be $S + 10$. According to the problem: $$N + 10 = 2(S + 10)$$ 4. **Simplify the equations:** - From the first equation: $$N - 5 = 3S - 15$$ $$N = 3S - 10$$ - From the second equation: $$N + 10 = 2S + 20$$ $$N = 2S + 10$$ 5. **Set the two expressions for $N$ equal to each other:** $$3S - 10 = 2S + 10$$ 6. **Solve for $S$:** $$3S - 2S = 10 + 10$$ $$S = 20$$ 7. **Find $N$ using $N = 2S + 10$:** $$N = 2(20) + 10 = 40 + 10 = 50$$ 8. **Answer:** Noori is currently 50 years old and Sonu is currently 20 years old.