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

Answer: (D)

50 Years

Answer 2

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