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?

• A. 20 Years
• B. 45 Years
• C. 40 Years
• D. 50 Years

Answer 1

The Correct Option is D

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