Question
Download Solution PDFThe ages of Pratik and Aarif differ by 20 years. If 5 years ago, Pratik was 5 times as old as Aarif, their present ages (in years) are:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFLet present age of Pratik be P and that of Aarif be A.
Given that the ages of Pratik and Aarif differ by 20 years:
P - A = 20 ----(i)
Also given that 5 years ago, Pratik was 5 times as old as Aarif:
(P - 5) = 5 (A - 5)
Expanding and simplifying the equation:
P - 5 = 5A - 25
P = 5A - 20 ----(ii)
Now, substituting the value of P from equation (ii) into equation (i):
(5A - 20) - A = 20
4A - 20 = 20
4A = 40
A = 10
Hence, the present age of Aarif is 10 years.
Substituting the value of A into equation (i) to find the age of Pratik:
P - 10 = 20
P = 30
Hence, the present age of Pratik is 30 years.
The correct answer is option 4: 30, 10
Last updated on Jul 4, 2024
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