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?
Answer: 33
Explanation
Let current ages be:
-
Ahsan = A
-
Shakeel =
Condition 1 (Five years ago):
A−5=7(S−5)(Equation 1)
Condition 2 (Three years later):
A+3=3(S+3)(Equation 2)
Solving the equations:
From Equation 1:
A−5=7S−35⇒A=7S−30(Equation 3)
Substitute into Equation 2:
(7S−30)+3=3(S+3)⇒7S−27=3S+9⇒7S−3S=9+27⇒4S=36⇒S=9
Now, plug back to find Ahsan's age:
A = 7S - 30 = 7(9) - 30 = 63 - 30 = 33A=7S−30=7(9)−30=63−30=33
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