Ages Fandi Ahmad 97055A

1. **State the problem:** We need to find the present ages of Fandi and Ahmad given: - The sum of their current ages is $38$. - Seven years ago, Fandi was three times as old as Ahmad. 2. **Define variables:** Let $F$ be Fandi's present age and $A$ be Ahmad's present age. 3. **Write equations based on the problem:** - Sum of ages: $$F + A = 38$$ - Seven years ago, Fandi's age was $F - 7$ and Ahmad's age was $A - 7$. - Given: $$F - 7 = 3(A - 7)$$ 4. **Solve the system of equations:** From the second equation: $$F - 7 = 3A - 21$$ $$F = 3A - 21 + 7$$ $$F = 3A - 14$$ Substitute $F$ in the first equation: $$3A - 14 + A = 38$$ $$4A - 14 = 38$$ $$4A = 38 + 14$$ $$4A = 52$$ $$A = \frac{52}{4}$$ $$A = 13$$ 5. **Find Fandi's age:** $$F = 3(13) - 14$$ $$F = 39 - 14$$ $$F = 25$$ 6. **Answer:** Fandi is $25$ years old and Ahmad is $13$ years old.