Five years ago, Ahsan's age was 7 times Shakeel’s. After 3 years, Ahsan’s age will be 3 times Shakeel’s. What is Ahsan’s current age?
Five years ago, Ahsan's age was 7 times Shakeel’s. After 3 years, Ahsan’s age will be 3 times Shakeel’s. What is Ahsan’s current age?
Explanation
Let current ages be:
-
Ahsan =
-
Shakeel =
Condition 1 (Five years ago):
Condition 2 (Three years later):
Solving the equations:
From Equation 1:
Substitute into Equation 2:
Now, plug back to find Ahsan's age:
A = 7S - 30 = 7(9) - 30 = 63 - 30 = 33