1. **State the problem:** We need to find the current ages of Muneer and Mujeeb given two conditions about their ages in the past and future. 2. **Define variables:** Let $M$ be Muneer's current age and $J$ be Mujeeb's current age. 3. **Translate the first condition:** "6 years back the age of Muneer was 3 times the age of Mujeeb" means: $$M - 6 = 3(J - 6)$$ 4. **Translate the second condition:** "After 4 years the age of Muneer becomes twice the age of Mujeeb" means: $$M + 4 = 2(J + 4)$$ 5. **Simplify the first equation:** $$M - 6 = 3J - 18$$ $$M - 3J = -12$$ 6. **Simplify the second equation:** $$M + 4 = 2J + 8$$ $$M - 2J = 4$$ 7. **Solve the system of equations:** From equations: $$M - 3J = -12$$ $$M - 2J = 4$$ Subtract the second from the first: $$(M - 3J) - (M - 2J) = -12 - 4$$ $$-3J + 2J = -16$$ $$-J = -16$$ $$J = 16$$ 8. **Find $M$ using $J=16$ in $M - 2J = 4$:** $$M - 2(16) = 4$$ $$M - 32 = 4$$ $$M = 36$$ 9. **Final answer:** Muneer's current age is $36$ years. Mujeeb's current age is $16$ years.