Question:

If Dennis is 1/3rd the age of his father Keith now, and was 1/4th the age of his father 5 years ago, then how old will his father Keith be 5 years from now?

Updated On: Oct 4, 2024
  • 20 Years
  • 45 Years
  • 40 Years
  • 50 Years
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The Correct Option is D

Solution and Explanation

Let Keith's present age be 3\(x\) 4th the age of his father 5 years ago, then years and Dennis's present age be \(x\) years
\(\rightarrow\)\((3x −5) = 4×(x−5)\)
\(\rightarrow\)\(3x−5 =4x−20\)
\(\rightarrow x =15\)
Therefore, Keith's age after 5 years =\(3(15)+5=50\) years
The correct answer is (D) : 50 Years

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